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Simplifying 552 = 17x2 + 70x Reorder the terms: 552 = 70x + 17x2 Solving 552 = 70x + 17x2 Solving for variable 'x'. Reorder the terms: 552 + -70x + -17x2 = 70x + -70x + 17x2 + -17x2 Combine like terms: 70x + -70x = 0 552 + -70x + -17x2 = 0 + 17x2 + -17x2 552 + -70x + -17x2 = 17x2 + -17x2 Combine like terms: 17x2 + -17x2 = 0 552 + -70x + -17x2 = 0 Factor a trinomial. (4 + -1x)(138 + 17x) = 0Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 2
Set the factor '(138 + 17x)' equal to zero and attempt to solve: Simplifying 138 + 17x = 0 Solving 138 + 17x = 0 Move all terms containing x to the left, all other terms to the right. Add '-138' to each side of the equation. 138 + -138 + 17x = 0 + -138 Combine like terms: 138 + -138 = 0 0 + 17x = 0 + -138 17x = 0 + -138 Combine like terms: 0 + -138 = -138 17x = -138 Divide each side by '17'. x = -8.117647059 Simplifying x = -8.117647059Solution
x = {4, -8.117647059}
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