Solve for x : sqrt(5x+36)-8=-4 Answer:

Isolate Square Root: Isolate the square root on one side of the equation. Add 8 to both sides to isolate the square root. sqrt(5x + 36) - 8 + 8 = -4 + 8 sqrt(5x + 36) = 4Square Both Sides: Square both sides to eliminate the square root. (sqrt(5x + 36))^2 = 4^2 5x + 36 = 16Isolate Variable x: Isolate the variable x. Subtract 36 from both sides to solve for x. 5x + 36 - 36 = 16 - 36 5x = -20Divide by 5: Divide both sides by 5 to find the value of x. 5x / 5 = -20 / 5 x = -4

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Math Problems

Grade 8

Solve equations with the distributive property

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Q. Solve for

\mathrm{x}

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\sqrt{5 x+36}-8=-4

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Answer:

Isolate Square Root: Isolate the square root on one side of the equation. $\newline$ Add $8$ to both sides to isolate the square root. $\newline$ $\sqrt{5x + 36} - 8 + 8 = -4 + 8$ $\newline$ $\sqrt{5x + 36} = 4$
Square Both Sides: Square both sides to eliminate the square root. $\newline$ $(\sqrt{5x + 36})^2 = 4^2$ $\newline$ $5x + 36 = 16$
Isolate Variable $x$ : Isolate the variable $x$ . $\newline$ Subtract $36$ from both sides to solve for $x$ . $\newline$ $5x + 36 - 36 = 16 - 36$ $\newline$ $5x = -20$
Divide by $5$ : Divide both sides by $5$ to find the value of x. $\newline$ $\frac{5x}{5} = \frac{-20}{5}$ $\newline$ $x = -4$