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Simplifying
(2x + -9z)(2x + 9z) = 0
Multiply (2x + -9z) * (2x + 9z)
(2x * (2x + 9z) + -9z * (2x + 9z)) = 0
((2x * 2x + 9z * 2x) + -9z * (2x + 9z)) = 0
Reorder the terms:
((18xz + 4x2) + -9z * (2x + 9z)) = 0
((18xz + 4x2) + -9z * (2x + 9z)) = 0
(18xz + 4x2 + (2x * -9z + 9z * -9z)) = 0
(18xz + 4x2 + (-18xz + -81z2)) = 0
Reorder the terms:
(18xz + -18xz + 4x2 + -81z2) = 0
Combine like terms: 18xz + -18xz = 0
(0 + 4x2 + -81z2) = 0
(4x2 + -81z2) = 0
Solving
4x2 + -81z2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '81z2' to each side of the equation.
4x2 + -81z2 + 81z2 = 0 + 81z2
Combine like terms: -81z2 + 81z2 = 0
4x2 + 0 = 0 + 81z2
4x2 = 0 + 81z2
Remove the zero:
4x2 = 81z2
Divide each side by '4'.
x2 = 20.25z2
Simplifying
x2 = 20.25z2
Take the square root of each side:
x = {-4.5z, 4.5z}
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