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Simplifying 17x2 + 70x = 552 Reorder the terms: 70x + 17x2 = 552 Solving 70x + 17x2 = 552 Solving for variable 'x'. Reorder the terms: -552 + 70x + 17x2 = 552 + -552 Combine like terms: 552 + -552 = 0 -552 + 70x + 17x2 = 0 Factor a trinomial. (-138 + -17x)(4 + -1x) = 0Subproblem 1
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 = -8.117647059Subproblem 2
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 = 4Solution
x = {-8.117647059, 4}
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