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Simplifying
(3x + 6y4z4)(3x + -6y4z4) = 0
Multiply (3x + 6y4z4) * (3x + -6y4z4)
(3x * (3x + -6y4z4) + 6y4z4 * (3x + -6y4z4)) = 0
((3x * 3x + -6y4z4 * 3x) + 6y4z4 * (3x + -6y4z4)) = 0
Reorder the terms:
((-18xy4z4 + 9x2) + 6y4z4 * (3x + -6y4z4)) = 0
((-18xy4z4 + 9x2) + 6y4z4 * (3x + -6y4z4)) = 0
(-18xy4z4 + 9x2 + (3x * 6y4z4 + -6y4z4 * 6y4z4)) = 0
(-18xy4z4 + 9x2 + (18xy4z4 + -36y8z8)) = 0
Reorder the terms:
(-18xy4z4 + 18xy4z4 + 9x2 + -36y8z8) = 0
Combine like terms: -18xy4z4 + 18xy4z4 = 0
(0 + 9x2 + -36y8z8) = 0
(9x2 + -36y8z8) = 0
Solving
9x2 + -36y8z8 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '36y8z8' to each side of the equation.
9x2 + -36y8z8 + 36y8z8 = 0 + 36y8z8
Combine like terms: -36y8z8 + 36y8z8 = 0
9x2 + 0 = 0 + 36y8z8
9x2 = 0 + 36y8z8
Remove the zero:
9x2 = 36y8z8
Divide each side by '9'.
x2 = 4y8z8
Simplifying
x2 = 4y8z8
Take the square root of each side:
x = {-2y4z4, 2y4z4}
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