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Simplifying (6x2z6 + -2x4) = 0 Remove parenthesis around (6x2z6 + -2x4) 6x2z6 + -2x4 = 0 Solving 6x2z6 + -2x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x2'. 2x2(3z6 + -1x2) = 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 '(3z6 + -1x2)' equal to zero and attempt to solve: Simplifying 3z6 + -1x2 = 0 Reorder the terms: -1x2 + 3z6 = 0 Solving -1x2 + 3z6 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3z6' to each side of the equation. -1x2 + 3z6 + -3z6 = 0 + -3z6 Combine like terms: 3z6 + -3z6 = 0 -1x2 + 0 = 0 + -3z6 -1x2 = 0 + -3z6 Remove the zero: -1x2 = -3z6 Divide each side by '-1'. x2 = 3z6 Simplifying x2 = 3z6 Take the square root of each side: x = {-1.732050808z3, 1.732050808z3}Solution
x = {0, -1.732050808z3, 1.732050808z3}
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