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Solve for 
x :

sqrt(5x+91)+12=21
Answer:

Solve for x \mathrm{x} :\newline5x+91+12=21 \sqrt{5 x+91}+12=21 \newlineAnswer:

Full solution

Q. Solve for x \mathrm{x} :\newline5x+91+12=21 \sqrt{5 x+91}+12=21 \newlineAnswer:
  1. Isolate square root: Isolate the square root on one side of the equation.\newlineSubtract 1212 from both sides of the equation to isolate the square root.\newline5x+91+1212=2112\sqrt{5x + 91} + 12 - 12 = 21 - 12\newline5x+91=9\sqrt{5x + 91} = 9
  2. Square both sides: Square both sides of the equation to eliminate the square root.\newline(5x+91)2=92(\sqrt{5x + 91})^2 = 9^2\newline5x+91=815x + 91 = 81
  3. Isolate variable: Isolate the variable on one side of the equation to solve for xx.\newlineSubtract 9191 from both sides of the equation.\newline5x+9191=81915x + 91 - 91 = 81 - 91\newline5x=105x = -10
  4. Divide by 55: Divide both sides by 55 to solve for xx.5x5=105\frac{5x}{5} = \frac{-10}{5}x=2x = -2

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