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Simplifying 5x2 + 170x = -1400 Reorder the terms: 170x + 5x2 = -1400 Solving 170x + 5x2 = -1400 Solving for variable 'x'. Reorder the terms: 1400 + 170x + 5x2 = -1400 + 1400 Combine like terms: -1400 + 1400 = 0 1400 + 170x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(280 + 34x + x2) = 0 Factor a trinomial. 5((20 + x)(14 + x)) = 0 Ignore the factor 5.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 '(14 + x)' equal to zero and attempt to solve: Simplifying 14 + x = 0 Solving 14 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + x = 0 + -14 x = 0 + -14 Combine like terms: 0 + -14 = -14 x = -14 Simplifying x = -14Solution
x = {-20, -14}
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