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Simplifying
(2x + -7z)(2x + 7z) = 0
Multiply (2x + -7z) * (2x + 7z)
(2x * (2x + 7z) + -7z * (2x + 7z)) = 0
((2x * 2x + 7z * 2x) + -7z * (2x + 7z)) = 0
Reorder the terms:
((14xz + 4x2) + -7z * (2x + 7z)) = 0
((14xz + 4x2) + -7z * (2x + 7z)) = 0
(14xz + 4x2 + (2x * -7z + 7z * -7z)) = 0
(14xz + 4x2 + (-14xz + -49z2)) = 0
Reorder the terms:
(14xz + -14xz + 4x2 + -49z2) = 0
Combine like terms: 14xz + -14xz = 0
(0 + 4x2 + -49z2) = 0
(4x2 + -49z2) = 0
Solving
4x2 + -49z2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '49z2' to each side of the equation.
4x2 + -49z2 + 49z2 = 0 + 49z2
Combine like terms: -49z2 + 49z2 = 0
4x2 + 0 = 0 + 49z2
4x2 = 0 + 49z2
Remove the zero:
4x2 = 49z2
Divide each side by '4'.
x2 = 12.25z2
Simplifying
x2 = 12.25z2
Take the square root of each side:
x = {-3.5z, 3.5z}
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