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Simplifying 0 = 10x2 + 60x + -1600 Reorder the terms: 0 = -1600 + 60x + 10x2 Solving 0 = -1600 + 60x + 10x2 Solving for variable 'x'. Combine like terms: 0 + 1600 = 1600 1600 + -60x + -10x2 = -1600 + 60x + 10x2 + 1600 + -60x + -10x2 Reorder the terms: 1600 + -60x + -10x2 = -1600 + 1600 + 60x + -60x + 10x2 + -10x2 Combine like terms: -1600 + 1600 = 0 1600 + -60x + -10x2 = 0 + 60x + -60x + 10x2 + -10x2 1600 + -60x + -10x2 = 60x + -60x + 10x2 + -10x2 Combine like terms: 60x + -60x = 0 1600 + -60x + -10x2 = 0 + 10x2 + -10x2 1600 + -60x + -10x2 = 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 1600 + -60x + -10x2 = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(160 + -6x + -1x2) = 0 Factor a trinomial. 10((10 + -1x)(16 + x)) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 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 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Subproblem 2
Set the factor '(16 + x)' equal to zero and attempt to solve: Simplifying 16 + x = 0 Solving 16 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + x = 0 + -16 x = 0 + -16 Combine like terms: 0 + -16 = -16 x = -16 Simplifying x = -16Solution
x = {10, -16}
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