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Simplifying 9x2 + 240x + 1600 = x2 Reorder the terms: 1600 + 240x + 9x2 = x2 Solving 1600 + 240x + 9x2 = x2 Solving for variable 'x'. Combine like terms: 9x2 + -1x2 = 8x2 1600 + 240x + 8x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1600 + 240x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(200 + 30x + x2) = 0 Factor a trinomial. 8((20 + x)(10 + x)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(20 + x)' equal to zero and attempt to solve: Simplifying 20 + x = 0 Solving 20 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + x = 0 + -20 x = 0 + -20 Combine like terms: 0 + -20 = -20 x = -20 Simplifying x = -20Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Solution
x = {-20, -10}
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