Solve the equation for m(8m-5)(6m+9)=0. (A) -9 (B) 5 (C) (5)/(8) (D) -(3)/(2)

Given Equation: We are given the equation m(8m-5)(6m+9)=0. To find the solutions, we need to set each factor equal to zero and solve for m, because if the product of several factors is zero, at least one of the factors must be zero. This is known as the zero product property.Solution 1: First, we set the first factor m equal to zero: m = 0. This is one of the solutions to the equation.Solution 2: Next, we set the second factor 8m - 5 equal to zero and solve for m: 8m - 5 = 0. Adding 5 to both sides gives us 8m = 5. Dividing both sides by 8 gives us m = 5/8.Solution 3: Finally, we set the third factor 6m + 9 equal to zero and solve for m: 6m + 9 = 0. Subtracting 9 from both sides gives us 6m = -9. Dividing both sides by 6 gives us m = -9/6, which simplifies to m = -3/2.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve the equation for m(8m-5)(6m+9)=0.
(A) -9
(B) 5
(C) (5)/(8)
(D) -(3)/(2)

Solve the equation for $m(8 m-5)(6 m+9)=0$ $\newline$ (A) $-9$ $\newline$ (B) $5$ $\newline$ (C) $\frac{5}{8}$ $\newline$ (D) $-\frac{3}{2}$

View step-by-step help

Home

Math Problems

Algebra 2

Sum of finite series starts from 1

Full solution

Q. Solve the equation for

m(8 m-5)(6 m+9)=0

\newline

(A)

-9

\newline

(B)

5

\newline

(C)

\frac{5}{8}

\newline

(D)

-\frac{3}{2}

Given Equation: We are given the equation $m(8m-5)(6m+9)=0$ . To find the solutions, we need to set each factor equal to zero and solve for $m$ , because if the product of several factors is zero, at least one of the factors must be zero. This is known as the zero product property.
Solution $1$ : First, we set the first factor $m$ equal to zero: $m = 0$ . This is one of the solutions to the equation.
Solution $2$ : Next, we set the second factor $8m - 5$ equal to zero and solve for $m$ : $8m - 5 = 0$ . Adding $5$ to both sides gives us $8m = 5$ . Dividing both sides by $8$ gives us $m = \frac{5}{8}$ .
Solution $3$ : Finally, we set the third factor $6m + 9$ equal to zero and solve for $m$ : $6m + 9 = 0$ . Subtracting $9$ from both sides gives us $6m = -9$ . Dividing both sides by $6$ gives us $m = -\frac{9}{6}$ , which simplifies to $m = -\frac{3}{2}$ .