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Simplifying -1(6x2) * 2(3 + -1x2)(-2x) = 0 Remove parenthesis around (6x2) -1 * 6x2 * 2(3 + -1x2)(-2x) = 0 Remove parenthesis around (-2x) -1 * 6x2 * 2(3 + -1x2) * -2x = 0 Reorder the terms for easier multiplication: -1 * 6 * 2 * -2x2 * x(3 + -1x2) = 0 Multiply -1 * 6 -6 * 2 * -2x2 * x(3 + -1x2) = 0 Multiply -6 * 2 -12 * -2x2 * x(3 + -1x2) = 0 Multiply -12 * -2 24x2 * x(3 + -1x2) = 0 Multiply x2 * x 24x3(3 + -1x2) = 0 (3 * 24x3 + -1x2 * 24x3) = 0 (72x3 + -24x5) = 0 Solving 72x3 + -24x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '24x3'. 24x3(3 + -1x2) = 0 Ignore the factor 24.Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3 + -1x2)' equal to zero and attempt to solve: Simplifying 3 + -1x2 = 0 Solving 3 + -1x2 = 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 + -1x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x2 = 0 + -3 -1x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1x2 = -3 Divide each side by '-1'. x2 = 3 Simplifying x2 = 3 Take the square root of each side: x = {-1.732050808, 1.732050808}Solution
x = {-1.732050808, 1.732050808}
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