Solve for c. sqrt –10c = sqrt ( –3c + 7) c = _____

Square both sides: Square both sides of the equation to eliminate the square roots. (sqrt(–10c))^2 = (sqrt(–3c + 7))^2 –10c = –3c + 7Move terms with c: Move all terms containing c to one side of the equation. –10c + 3c = 7 –7c = 7Divide by -7: Divide both sides by –7 to solve for c. c = 7 / (–7) c = –1

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for $c$ . $\newline$ $\sqrt{\,-10c} = \sqrt{\,-3c + 7}$ $\newline$ $c = \,\_\_\_\_\_$

View step-by-step help

Home

Math Problems

Precalculus

Solve radical equations

Full solution

Q. Solve for

c

\newline

\sqrt{\,-10c} = \sqrt{\,-3c + 7}

\newline

c = \,\_\_\_\_\_

Square both sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{-10c})^2 = (\sqrt{-3c + 7})^2$ $\newline$ $-10c = -3c + 7$
Move terms with $c$ : Move all terms containing $c$ to one side of the equation. $\newline$ $-10c + 3c = 7$ $\newline$ $-7c = 7$
Divide by $-7$ : Divide both sides by extendash{} $7$ to solve for $c$ . $\newline$ c = \frac{7}{(\textendash{}7)} $\newline$ c = \textendash{}1