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Simplifying 0 = x2 + 4x + 9x Reorder the terms: 0 = 4x + 9x + x2 Combine like terms: 4x + 9x = 13x 0 = 13x + x2 Solving 0 = 13x + x2 Solving for variable 'x'. Remove the zero: -13x + -1x2 = 13x + x2 + -13x + -1x2 Reorder the terms: -13x + -1x2 = 13x + -13x + x2 + -1x2 Combine like terms: 13x + -13x = 0 -13x + -1x2 = 0 + x2 + -1x2 -13x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -13x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(13 + x) = 0 Ignore the factor -1.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 '(13 + x)' equal to zero and attempt to solve: Simplifying 13 + x = 0 Solving 13 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + x = 0 + -13 x = 0 + -13 Combine like terms: 0 + -13 = -13 x = -13 Simplifying x = -13Solution
x = {0, -13}
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