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Simplifying 7x2 + -2x = 57 Reorder the terms: -2x + 7x2 = 57 Solving -2x + 7x2 = 57 Solving for variable 'x'. Reorder the terms: -57 + -2x + 7x2 = 57 + -57 Combine like terms: 57 + -57 = 0 -57 + -2x + 7x2 = 0 Factor a trinomial. (-19 + -7x)(3 + -1x) = 0Subproblem 1
Set the factor '(-19 + -7x)' equal to zero and attempt to solve: Simplifying -19 + -7x = 0 Solving -19 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -7x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -7x = 0 + 19 -7x = 0 + 19 Combine like terms: 0 + 19 = 19 -7x = 19 Divide each side by '-7'. x = -2.714285714 Simplifying x = -2.714285714Subproblem 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 = {-2.714285714, 3}
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