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Simplifying -6X + -2 = 3X2 + 1 Reorder the terms: -2 + -6X = 3X2 + 1 Reorder the terms: -2 + -6X = 1 + 3X2 Solving -2 + -6X = 1 + 3X2 Solving for variable 'X'. Reorder the terms: -2 + -1 + -6X + -3X2 = 1 + 3X2 + -1 + -3X2 Combine like terms: -2 + -1 = -3 -3 + -6X + -3X2 = 1 + 3X2 + -1 + -3X2 Reorder the terms: -3 + -6X + -3X2 = 1 + -1 + 3X2 + -3X2 Combine like terms: 1 + -1 = 0 -3 + -6X + -3X2 = 0 + 3X2 + -3X2 -3 + -6X + -3X2 = 3X2 + -3X2 Combine like terms: 3X2 + -3X2 = 0 -3 + -6X + -3X2 = 0 Factor out the Greatest Common Factor (GCF), '-3'. -3(1 + 2X + X2) = 0 Factor a trinomial. -3((1 + X)(1 + X)) = 0 Ignore the factor -3.Subproblem 1
Set the factor '(1 + X)' equal to zero and attempt to solve: Simplifying 1 + X = 0 Solving 1 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + X = 0 + -1 X = 0 + -1 Combine like terms: 0 + -1 = -1 X = -1 Simplifying X = -1Subproblem 2
Set the factor '(1 + X)' equal to zero and attempt to solve: Simplifying 1 + X = 0 Solving 1 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + X = 0 + -1 X = 0 + -1 Combine like terms: 0 + -1 = -1 X = -1 Simplifying X = -1Solution
X = {-1, -1}
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