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Simplifying -9x2 + 16x + 4x + 22x2 = 9x2 Reorder the terms: 16x + 4x + -9x2 + 22x2 = 9x2 Combine like terms: 16x + 4x = 20x 20x + -9x2 + 22x2 = 9x2 Combine like terms: -9x2 + 22x2 = 13x2 20x + 13x2 = 9x2 Solving 20x + 13x2 = 9x2 Solving for variable 'x'. Combine like terms: 13x2 + -9x2 = 4x2 20x + 4x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 20x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(5 + x) = 0 Ignore the factor 4.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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {0, -5}
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