Solve for x. sqrt ( –4x + 3) = sqrt –7x x = _____

Square both sides: Square both sides of the equation to eliminate the square roots. (sqrt(–4x + 3))^2 = (sqrt(–7x))^2 –4x + 3 = –7xAdd x terms: Add 4x to both sides to get all the x terms on one side. –4x + 4x + 3 = –7x + 4x 3 = –3xDivide by -3: Divide both sides by -3 to solve for x. 3 / -3 = –3x / -3 x = -1

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Solve for $x$ . $\newline$ $\sqrt{(-4x + 3)} = \sqrt{-7x}$ $\newline$ $x =$ _____

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Precalculus

Solve radical equations

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Q. Solve for

x

\newline

\sqrt{(-4x + 3)} = \sqrt{-7x}

\newline

x =

_____

Square both sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{\text{–}4x + 3})^2 = (\sqrt{\text{–}7x})^2$ $\newline$ $\text{–}4x + 3 = \text{–}7x$
Add $x$ terms: Add $4x$ to both sides to get all the $x$ terms on one side. $\newline$ $–4x + 4x + 3 = –7x + 4x$ $\newline$ $3 = –3x$
Divide by $-3$ : Divide both sides by $-3$ to solve for $x$ . $\frac{3}{-3} = \frac{–3x}{-3}$ $x = -1$