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Simplifying (x * x) + 20 = 17x + -50 Multiply x * x (x2) + 20 = 17x + -50 x2 + 20 = 17x + -50 Reorder the terms: 20 + x2 = 17x + -50 Reorder the terms: 20 + x2 = -50 + 17x Solving 20 + x2 = -50 + 17x Solving for variable 'x'. Reorder the terms: 20 + 50 + -17x + x2 = -50 + 17x + 50 + -17x Combine like terms: 20 + 50 = 70 70 + -17x + x2 = -50 + 17x + 50 + -17x Reorder the terms: 70 + -17x + x2 = -50 + 50 + 17x + -17x Combine like terms: -50 + 50 = 0 70 + -17x + x2 = 0 + 17x + -17x 70 + -17x + x2 = 17x + -17x Combine like terms: 17x + -17x = 0 70 + -17x + x2 = 0 Factor a trinomial. (7 + -1x)(10 + -1x) = 0Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Subproblem 2
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 = 10Solution
x = {7, 10}
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