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Simplifying 5x2 + 7x = 34 Reorder the terms: 7x + 5x2 = 34 Solving 7x + 5x2 = 34 Solving for variable 'x'. Reorder the terms: -34 + 7x + 5x2 = 34 + -34 Combine like terms: 34 + -34 = 0 -34 + 7x + 5x2 = 0 Factor a trinomial. (-17 + -5x)(2 + -1x) = 0Subproblem 1
Set the factor '(-17 + -5x)' equal to zero and attempt to solve: Simplifying -17 + -5x = 0 Solving -17 + -5x = 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 + -5x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -5x = 0 + 17 -5x = 0 + 17 Combine like terms: 0 + 17 = 17 -5x = 17 Divide each side by '-5'. x = -3.4 Simplifying x = -3.4Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-3.4, 2}
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