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Simplifying
(8x + -3z)(8x + 3z) = 0
Multiply (8x + -3z) * (8x + 3z)
(8x * (8x + 3z) + -3z * (8x + 3z)) = 0
((8x * 8x + 3z * 8x) + -3z * (8x + 3z)) = 0
Reorder the terms:
((24xz + 64x2) + -3z * (8x + 3z)) = 0
((24xz + 64x2) + -3z * (8x + 3z)) = 0
(24xz + 64x2 + (8x * -3z + 3z * -3z)) = 0
(24xz + 64x2 + (-24xz + -9z2)) = 0
Reorder the terms:
(24xz + -24xz + 64x2 + -9z2) = 0
Combine like terms: 24xz + -24xz = 0
(0 + 64x2 + -9z2) = 0
(64x2 + -9z2) = 0
Solving
64x2 + -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.
64x2 + -9z2 + 9z2 = 0 + 9z2
Combine like terms: -9z2 + 9z2 = 0
64x2 + 0 = 0 + 9z2
64x2 = 0 + 9z2
Remove the zero:
64x2 = 9z2
Divide each side by '64'.
x2 = 0.140625z2
Simplifying
x2 = 0.140625z2
Take the square root of each side:
x = {-0.375z, 0.375z}
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