Solve for all values of x : 8x(4x+9)-(4x+9)=0 Answer: x=

Factor out common term: Factor out the common term (4x+9) from both parts of the equation. 8x(4x+9) - (4x+9) = 0 (4x+9)(8x-1) = 0Set factors equal: Set each factor equal to zero to find the values of x. First, set the first factor equal to zero: 4x + 9 = 0Solve for x (1st factor): Solve for x from the first factor. 4x + 9 = 0 4x = -9 x = -9/4 x = -2.25Set second factor equal: Now, set the second factor equal to zero: 8x - 1 = 0Solve for x (2nd factor): Solve for x from the second factor. 8x - 1 = 0 8x = 1 x = 1/8 x = 0.125

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Solve for all values of
x :

8x(4x+9)-(4x+9)=0
Answer:
x=

Solve for all values of $x$ : $\newline$ $8 x(4 x+9)-(4 x+9)=0$ $\newline$ Answer: $x=$

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Algebra 1

Solve multi-step linear equations

Full solution

Q. Solve for all values of

x

\newline

8 x(4 x+9)-(4 x+9)=0

\newline

Answer:

x=

Factor out common term: Factor out the common term $(4x+9)$ from both parts of the equation. $\newline$ $8x(4x+9) - (4x+9) = 0$ $\newline$ $(4x+9)(8x-1) = 0$
Set factors equal: Set each factor equal to zero to find the values of $x$ . $\newline$ First, set the first factor equal to zero: $\newline$ $4x + 9 = 0$
Solve for x ( $1$ st factor): Solve for x from the first factor. $\newline$ $4x + 9 = 0$ $\newline$ $4x = -9$ $\newline$ $x = -\frac{9}{4}$ $\newline$ $x = -2.25$
Set second factor equal: Now, set the second factor equal to zero: $\newline$ $8x - 1 = 0$
Solve for x ( $2$ nd factor): Solve for x from the second factor. $\newline$ $8x - 1 = 0$ $\newline$ $8x = 1$ $\newline$ $x = \frac{1}{8}$ $\newline$ $x = 0.125$