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Simplifying 5x2 + -34 = 7x Reorder the terms: -34 + 5x2 = 7x Solving -34 + 5x2 = 7x Solving for variable 'x'. Reorder the terms: -34 + -7x + 5x2 = 7x + -7x Combine like terms: 7x + -7x = 0 -34 + -7x + 5x2 = 0 Factor a trinomial. (-2 + -1x)(17 + -5x) = 0Subproblem 1
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 = -2Subproblem 2
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 = 3.4Solution
x = {-2, 3.4}
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