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Simplifying 7x2 + -4x = 51 Reorder the terms: -4x + 7x2 = 51 Solving -4x + 7x2 = 51 Solving for variable 'x'. Reorder the terms: -51 + -4x + 7x2 = 51 + -51 Combine like terms: 51 + -51 = 0 -51 + -4x + 7x2 = 0 Factor a trinomial. (-17 + -7x)(3 + -1x) = 0Subproblem 1
Set the factor '(-17 + -7x)' equal to zero and attempt to solve: Simplifying -17 + -7x = 0 Solving -17 + -7x = 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 + -7x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -7x = 0 + 17 -7x = 0 + 17 Combine like terms: 0 + 17 = 17 -7x = 17 Divide each side by '-7'. x = -2.428571429 Simplifying x = -2.428571429Subproblem 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 = {-2.428571429, 3}
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