(5x-3z)(5x+3z)=

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Solution for (5x-3z)(5x+3z)= equation:


Simplifying
(5x + -3z)(5x + 3z) = 0

Multiply (5x + -3z) * (5x + 3z)
(5x * (5x + 3z) + -3z * (5x + 3z)) = 0
((5x * 5x + 3z * 5x) + -3z * (5x + 3z)) = 0

Reorder the terms:
((15xz + 25x2) + -3z * (5x + 3z)) = 0
((15xz + 25x2) + -3z * (5x + 3z)) = 0
(15xz + 25x2 + (5x * -3z + 3z * -3z)) = 0
(15xz + 25x2 + (-15xz + -9z2)) = 0

Reorder the terms:
(15xz + -15xz + 25x2 + -9z2) = 0

Combine like terms: 15xz + -15xz = 0
(0 + 25x2 + -9z2) = 0
(25x2 + -9z2) = 0

Solving
25x2 + -9z2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '9z2' to each side of the equation.
25x2 + -9z2 + 9z2 = 0 + 9z2

Combine like terms: -9z2 + 9z2 = 0
25x2 + 0 = 0 + 9z2
25x2 = 0 + 9z2
Remove the zero:
25x2 = 9z2

Divide each side by '25'.
x2 = 0.36z2

Simplifying
x2 = 0.36z2

Take the square root of each side:
x = {-0.6z, 0.6z}

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