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Simplifying x2 + 170x + 1600 = 0 Reorder the terms: 1600 + 170x + x2 = 0 Solving 1600 + 170x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (160 + x)(10 + x) = 0Subproblem 1
Set the factor '(160 + x)' equal to zero and attempt to solve: Simplifying 160 + x = 0 Solving 160 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-160' to each side of the equation. 160 + -160 + x = 0 + -160 Combine like terms: 160 + -160 = 0 0 + x = 0 + -160 x = 0 + -160 Combine like terms: 0 + -160 = -160 x = -160 Simplifying x = -160Subproblem 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 = {-160, -10}
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