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Simplifying 160 = x(x + 6) Reorder the terms: 160 = x(6 + x) 160 = (6 * x + x * x) 160 = (6x + x2) Solving 160 = 6x + x2 Solving for variable 'x'. Reorder the terms: 160 + -6x + -1x2 = 6x + -6x + x2 + -1x2 Combine like terms: 6x + -6x = 0 160 + -6x + -1x2 = 0 + x2 + -1x2 160 + -6x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 160 + -6x + -1x2 = 0 Factor a trinomial. (10 + -1x)(16 + x) = 0Subproblem 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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