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Simplifying (-2x2 + 4x + -5) + (3 + -7x + x2) = 0 Reorder the terms: (-5 + 4x + -2x2) + (3 + -7x + x2) = 0 Remove parenthesis around (-5 + 4x + -2x2) -5 + 4x + -2x2 + (3 + -7x + x2) = 0 Remove parenthesis around (3 + -7x + x2) -5 + 4x + -2x2 + 3 + -7x + x2 = 0 Reorder the terms: -5 + 3 + 4x + -7x + -2x2 + x2 = 0 Combine like terms: -5 + 3 = -2 -2 + 4x + -7x + -2x2 + x2 = 0 Combine like terms: 4x + -7x = -3x -2 + -3x + -2x2 + x2 = 0 Combine like terms: -2x2 + x2 = -1x2 -2 + -3x + -1x2 = 0 Solving -2 + -3x + -1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(2 + 3x + x2) = 0 Factor a trinomial. -1((2 + x)(1 + x)) = 0 Ignore the factor -1.Subproblem 1
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 = -2Subproblem 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 = {-2, -1}
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