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Simplifying 2x2 + 4x + -59 = 7 + 5x Reorder the terms: -59 + 4x + 2x2 = 7 + 5x Solving -59 + 4x + 2x2 = 7 + 5x Solving for variable 'x'. Reorder the terms: -59 + -7 + 4x + -5x + 2x2 = 7 + 5x + -7 + -5x Combine like terms: -59 + -7 = -66 -66 + 4x + -5x + 2x2 = 7 + 5x + -7 + -5x Combine like terms: 4x + -5x = -1x -66 + -1x + 2x2 = 7 + 5x + -7 + -5x Reorder the terms: -66 + -1x + 2x2 = 7 + -7 + 5x + -5x Combine like terms: 7 + -7 = 0 -66 + -1x + 2x2 = 0 + 5x + -5x -66 + -1x + 2x2 = 5x + -5x Combine like terms: 5x + -5x = 0 -66 + -1x + 2x2 = 0 Factor a trinomial. (-11 + -2x)(6 + -1x) = 0Subproblem 1
Set the factor '(-11 + -2x)' equal to zero and attempt to solve: Simplifying -11 + -2x = 0 Solving -11 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -2x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -2x = 0 + 11 -2x = 0 + 11 Combine like terms: 0 + 11 = 11 -2x = 11 Divide each side by '-2'. x = -5.5 Simplifying x = -5.5Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-5.5, 6}
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