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Simplifying -6x2 + -13x = -3x2 + -7x Reorder the terms: -13x + -6x2 = -3x2 + -7x Reorder the terms: -13x + -6x2 = -7x + -3x2 Solving -13x + -6x2 = -7x + -3x2 Solving for variable 'x'. Reorder the terms: -13x + 7x + -6x2 + 3x2 = -7x + -3x2 + 7x + 3x2 Combine like terms: -13x + 7x = -6x -6x + -6x2 + 3x2 = -7x + -3x2 + 7x + 3x2 Combine like terms: -6x2 + 3x2 = -3x2 -6x + -3x2 = -7x + -3x2 + 7x + 3x2 Reorder the terms: -6x + -3x2 = -7x + 7x + -3x2 + 3x2 Combine like terms: -7x + 7x = 0 -6x + -3x2 = 0 + -3x2 + 3x2 -6x + -3x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 -6x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '-3x'. -3x(2 + x) = 0 Ignore the factor -3.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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {0, -2}
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