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Simplifying
(6x + z)(6x + -1z) = 0
Multiply (6x + z) * (6x + -1z)
(6x * (6x + -1z) + z(6x + -1z)) = 0
((6x * 6x + -1z * 6x) + z(6x + -1z)) = 0
Reorder the terms:
((-6xz + 36x2) + z(6x + -1z)) = 0
((-6xz + 36x2) + z(6x + -1z)) = 0
(-6xz + 36x2 + (6x * z + -1z * z)) = 0
(-6xz + 36x2 + (6xz + -1z2)) = 0
Reorder the terms:
(-6xz + 6xz + 36x2 + -1z2) = 0
Combine like terms: -6xz + 6xz = 0
(0 + 36x2 + -1z2) = 0
(36x2 + -1z2) = 0
Solving
36x2 + -1z2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'z2' to each side of the equation.
36x2 + -1z2 + z2 = 0 + z2
Combine like terms: -1z2 + z2 = 0
36x2 + 0 = 0 + z2
36x2 = 0 + z2
Remove the zero:
36x2 = z2
Divide each side by '36'.
x2 = 0.02777777778z2
Simplifying
x2 = 0.02777777778z2
Take the square root of each side:
x = {-0.166666667z, 0.166666667z}
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