Solve for z. sqrt ( 10 − 4z) = sqrt –9z z = _____

Square both sides: Square both sides of the equation to eliminate the square roots. (sqrt(10 − 4z))^2 = (sqrt(−9z))^2 10 − 4z = −9zAdd variable term: Add 9z to both sides of the equation to isolate the variable term on one side. 10 − 4z + 9z = −9z + 9z 10 + 5z = 0Subtract 10: Subtract 10 from both sides of the equation to solve for z. 5z = −10Divide by 5: Divide both sides by 5 to find the value of z. z = −10 / 5 z = −2

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Solve for $z$ . $\newline$ $\sqrt{10 - 4z} = \sqrt{-9z}$ $\newline$ $z =$ _____

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Q. Solve for

z

\newline

\sqrt{10 - 4z} = \sqrt{-9z}

\newline

z =

_____

Square both sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{10 - 4z})^2 = (\sqrt{-9z})^2$ $\newline$ $10 - 4z = -9z$
Add variable term: Add $9z$ to both sides of the equation to isolate the variable term on one side. $\newline$ $10 - 4z + 9z = -9z + 9z$ $\newline$ $10 + 5z = 0$
Subtract $10$ : Subtract $10$ from both sides of the equation to solve for $z$ . $\newline$ $5z = -10$
Divide by $5$ : Divide both sides by $5$ to find the value of $z$ . $z = \frac{-10}{5}$ $z = -2$