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Simplifying 170 = 2x2 + 3x Reorder the terms: 170 = 3x + 2x2 Solving 170 = 3x + 2x2 Solving for variable 'x'. Reorder the terms: 170 + -3x + -2x2 = 3x + -3x + 2x2 + -2x2 Combine like terms: 3x + -3x = 0 170 + -3x + -2x2 = 0 + 2x2 + -2x2 170 + -3x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 170 + -3x + -2x2 = 0 Factor a trinomial. (17 + -2x)(10 + x) = 0Subproblem 1
Set the factor '(17 + -2x)' equal to zero and attempt to solve: Simplifying 17 + -2x = 0 Solving 17 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -2x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = 0 + -17 -2x = 0 + -17 Combine like terms: 0 + -17 = -17 -2x = -17 Divide each side by '-2'. x = 8.5 Simplifying x = 8.5Subproblem 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 = {8.5, -10}
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