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Simplifying 7x2 = 17x + 12 Reorder the terms: 7x2 = 12 + 17x Solving 7x2 = 12 + 17x Solving for variable 'x'. Reorder the terms: -12 + -17x + 7x2 = 12 + 17x + -12 + -17x Reorder the terms: -12 + -17x + 7x2 = 12 + -12 + 17x + -17x Combine like terms: 12 + -12 = 0 -12 + -17x + 7x2 = 0 + 17x + -17x -12 + -17x + 7x2 = 17x + -17x Combine like terms: 17x + -17x = 0 -12 + -17x + 7x2 = 0 Factor a trinomial. (-4 + -7x)(3 + -1x) = 0Subproblem 1
Set the factor '(-4 + -7x)' equal to zero and attempt to solve: Simplifying -4 + -7x = 0 Solving -4 + -7x = 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 + -7x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7x = 0 + 4 -7x = 0 + 4 Combine like terms: 0 + 4 = 4 -7x = 4 Divide each side by '-7'. x = -0.5714285714 Simplifying x = -0.5714285714Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-0.5714285714, 3}
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