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Simplifying
(9z + 5x)(9z + -5x) = 0
Reorder the terms:
(5x + 9z)(9z + -5x) = 0
Reorder the terms:
(5x + 9z)(-5x + 9z) = 0
Multiply (5x + 9z) * (-5x + 9z)
(5x * (-5x + 9z) + 9z * (-5x + 9z)) = 0
((-5x * 5x + 9z * 5x) + 9z * (-5x + 9z)) = 0
Reorder the terms:
((45xz + -25x2) + 9z * (-5x + 9z)) = 0
((45xz + -25x2) + 9z * (-5x + 9z)) = 0
(45xz + -25x2 + (-5x * 9z + 9z * 9z)) = 0
(45xz + -25x2 + (-45xz + 81z2)) = 0
Reorder the terms:
(45xz + -45xz + -25x2 + 81z2) = 0
Combine like terms: 45xz + -45xz = 0
(0 + -25x2 + 81z2) = 0
(-25x2 + 81z2) = 0
Solving
-25x2 + 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.
-25x2 + 81z2 + -81z2 = 0 + -81z2
Combine like terms: 81z2 + -81z2 = 0
-25x2 + 0 = 0 + -81z2
-25x2 = 0 + -81z2
Remove the zero:
-25x2 = -81z2
Divide each side by '-25'.
x2 = 3.24z2
Simplifying
x2 = 3.24z2
Take the square root of each side:
x = {-1.8z, 1.8z}
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