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Simplifying -5 + 2(6 + -1x) * x = -5 Reorder the terms for easier multiplication: -5 + 2x(6 + -1x) = -5 -5 + (6 * 2x + -1x * 2x) = -5 -5 + (12x + -2x2) = -5 Add '5' to each side of the equation. -5 + 12x + 5 + -2x2 = -5 + 5 Reorder the terms: -5 + 5 + 12x + -2x2 = -5 + 5 Combine like terms: -5 + 5 = 0 0 + 12x + -2x2 = -5 + 5 12x + -2x2 = -5 + 5 Combine like terms: -5 + 5 = 0 12x + -2x2 = 0 Solving 12x + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(6 + -1x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {0, 6}
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