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Simplifying x2 + -3x + -4x2 + -9 = 3x + -9 Reorder the terms: -9 + -3x + x2 + -4x2 = 3x + -9 Combine like terms: x2 + -4x2 = -3x2 -9 + -3x + -3x2 = 3x + -9 Reorder the terms: -9 + -3x + -3x2 = -9 + 3x Add '9' to each side of the equation. -9 + -3x + 9 + -3x2 = -9 + 9 + 3x Reorder the terms: -9 + 9 + -3x + -3x2 = -9 + 9 + 3x Combine like terms: -9 + 9 = 0 0 + -3x + -3x2 = -9 + 9 + 3x -3x + -3x2 = -9 + 9 + 3x Combine like terms: -9 + 9 = 0 -3x + -3x2 = 0 + 3x -3x + -3x2 = 3x Solving -3x + -3x2 = 3x Solving for variable 'x'. Reorder the terms: -3x + -3x + -3x2 = 3x + -3x Combine like terms: -3x + -3x = -6x -6x + -3x2 = 3x + -3x Combine like terms: 3x + -3x = 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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