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Simplifying 2(x2 + -1) = 6x + -2 Reorder the terms: 2(-1 + x2) = 6x + -2 (-1 * 2 + x2 * 2) = 6x + -2 (-2 + 2x2) = 6x + -2 Reorder the terms: -2 + 2x2 = -2 + 6x Add '2' to each side of the equation. -2 + 2 + 2x2 = -2 + 2 + 6x Combine like terms: -2 + 2 = 0 0 + 2x2 = -2 + 2 + 6x 2x2 = -2 + 2 + 6x Combine like terms: -2 + 2 = 0 2x2 = 0 + 6x 2x2 = 6x Solving 2x2 = 6x Solving for variable 'x'. Reorder the terms: -6x + 2x2 = 6x + -6x Combine like terms: 6x + -6x = 0 -6x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-3 + x) = 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 '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 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 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3Solution
x = {0, 3}
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