Solve for x : sqrt(7x+57)+18=24 Answer:

Isolate square root: Isolate the square root on one side of the equation by subtracting 18 from both sides. sqrt(7x + 57) + 18 - 18 = 24 - 18 sqrt(7x + 57) = 6Square both sides: Square both sides of the equation to eliminate the square root. (sqrt(7x + 57))^2 = 6^2 7x + 57 = 36Isolate variable term: Isolate the variable term by subtracting 57 from both sides. 7x + 57 - 57 = 36 - 57 7x = -21Divide to solve: Divide both sides by 7 to solve for x. 7x / 7 = -21 / 7 x = -3

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for
x :

sqrt(7x+57)+18=24
Answer:

Solve for $\mathrm{x}$ : $\newline$ $\sqrt{7 x+57}+18=24$ $\newline$ Answer:

View step-by-step help

Home

Math Problems

Precalculus

Solve radical equations

Full solution

Q. Solve for

\mathrm{x}

\newline

\sqrt{7 x+57}+18=24

\newline

Answer:

Isolate square root: Isolate the square root on one side of the equation by subtracting $18$ from both sides. $\newline$ $\sqrt{7x + 57} + 18 - 18 = 24 - 18$ $\newline$ $\sqrt{7x + 57} = 6$
Square both sides: Square both sides of the equation to eliminate the square root. $\newline$ $(\sqrt{7x + 57})^2 = 6^2$ $\newline$ $7x + 57 = 36$
Isolate variable term: Isolate the variable term by subtracting $57$ from both sides. $\newline$ $7x + 57 - 57 = 36 - 57$ $\newline$ $7x = -21$
Divide to solve: Divide both sides by $7$ to solve for $x$ . $\frac{7x}{7} = \frac{-21}{7}$ $x = -3$