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Simplifying
(5z + -4x)(5z + 4x) = 0
Reorder the terms:
(-4x + 5z)(5z + 4x) = 0
Reorder the terms:
(-4x + 5z)(4x + 5z) = 0
Multiply (-4x + 5z) * (4x + 5z)
(-4x * (4x + 5z) + 5z * (4x + 5z)) = 0
((4x * -4x + 5z * -4x) + 5z * (4x + 5z)) = 0
Reorder the terms:
((-20xz + -16x2) + 5z * (4x + 5z)) = 0
((-20xz + -16x2) + 5z * (4x + 5z)) = 0
(-20xz + -16x2 + (4x * 5z + 5z * 5z)) = 0
(-20xz + -16x2 + (20xz + 25z2)) = 0
Reorder the terms:
(-20xz + 20xz + -16x2 + 25z2) = 0
Combine like terms: -20xz + 20xz = 0
(0 + -16x2 + 25z2) = 0
(-16x2 + 25z2) = 0
Solving
-16x2 + 25z2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-25z2' to each side of the equation.
-16x2 + 25z2 + -25z2 = 0 + -25z2
Combine like terms: 25z2 + -25z2 = 0
-16x2 + 0 = 0 + -25z2
-16x2 = 0 + -25z2
Remove the zero:
-16x2 = -25z2
Divide each side by '-16'.
x2 = 1.5625z2
Simplifying
x2 = 1.5625z2
Take the square root of each side:
x = {-1.25z, 1.25z}
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