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Simplifying
0 = (2x + -5z)(2x + 5z)
Multiply (2x + -5z) * (2x + 5z)
0 = (2x * (2x + 5z) + -5z * (2x + 5z))
0 = ((2x * 2x + 5z * 2x) + -5z * (2x + 5z))
Reorder the terms:
0 = ((10xz + 4x2) + -5z * (2x + 5z))
0 = ((10xz + 4x2) + -5z * (2x + 5z))
0 = (10xz + 4x2 + (2x * -5z + 5z * -5z))
0 = (10xz + 4x2 + (-10xz + -25z2))
Reorder the terms:
0 = (10xz + -10xz + 4x2 + -25z2)
Combine like terms: 10xz + -10xz = 0
0 = (0 + 4x2 + -25z2)
0 = (4x2 + -25z2)
Solving
0 = 4x2 + -25z2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x2' to each side of the equation.
0 + -4x2 = 4x2 + -4x2 + -25z2
Remove the zero:
-4x2 = 4x2 + -4x2 + -25z2
Combine like terms: 4x2 + -4x2 = 0
-4x2 = 0 + -25z2
-4x2 = -25z2
Divide each side by '-4'.
x2 = 6.25z2
Simplifying
x2 = 6.25z2
Take the square root of each side:
x = {-2.5z, 2.5z}
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