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Simplifying 18x2 + -2x4z6 = 0 Solving 18x2 + -2x4z6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x2'. 2x2(9 + -1x2z6) = 0 Factor a difference between two squares. 2x2((3 + xz3)(3 + -1xz3)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(3 + xz3)' equal to zero and attempt to solve: Simplifying 3 + xz3 = 0 Solving 3 + xz3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + xz3 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + xz3 = 0 + -3 xz3 = 0 + -3 Combine like terms: 0 + -3 = -3 xz3 = -3 Divide each side by 'z3'. x = -3z-3 Simplifying x = -3z-3Subproblem 3
Set the factor '(3 + -1xz3)' equal to zero and attempt to solve: Simplifying 3 + -1xz3 = 0 Solving 3 + -1xz3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1xz3 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1xz3 = 0 + -3 -1xz3 = 0 + -3 Combine like terms: 0 + -3 = -3 -1xz3 = -3 Divide each side by '-1z3'. x = 3z-3 Simplifying x = 3z-3Solution
x = {0, -3z-3, 3z-3}
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