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Simplifying -1x2 + -10x + -19 = -2x + -3 Reorder the terms: -19 + -10x + -1x2 = -2x + -3 Reorder the terms: -19 + -10x + -1x2 = -3 + -2x Solving -19 + -10x + -1x2 = -3 + -2x Solving for variable 'x'. Reorder the terms: -19 + 3 + -10x + 2x + -1x2 = -3 + -2x + 3 + 2x Combine like terms: -19 + 3 = -16 -16 + -10x + 2x + -1x2 = -3 + -2x + 3 + 2x Combine like terms: -10x + 2x = -8x -16 + -8x + -1x2 = -3 + -2x + 3 + 2x Reorder the terms: -16 + -8x + -1x2 = -3 + 3 + -2x + 2x Combine like terms: -3 + 3 = 0 -16 + -8x + -1x2 = 0 + -2x + 2x -16 + -8x + -1x2 = -2x + 2x Combine like terms: -2x + 2x = 0 -16 + -8x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(16 + 8x + x2) = 0 Factor a trinomial. -1((4 + x)(4 + x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {-4, -4}
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