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Simplifying 17x = 2x2 + 35 Reorder the terms: 17x = 35 + 2x2 Solving 17x = 35 + 2x2 Solving for variable 'x'. Reorder the terms: -35 + 17x + -2x2 = 35 + 2x2 + -35 + -2x2 Reorder the terms: -35 + 17x + -2x2 = 35 + -35 + 2x2 + -2x2 Combine like terms: 35 + -35 = 0 -35 + 17x + -2x2 = 0 + 2x2 + -2x2 -35 + 17x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -35 + 17x + -2x2 = 0 Factor a trinomial. (-5 + x)(7 + -2x) = 0Subproblem 1
Set the factor '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Simplifying x = 5Subproblem 2
Set the factor '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 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 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5Solution
x = {5, 3.5}
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