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Simplifying -2x2 = 13x + -7 Reorder the terms: -2x2 = -7 + 13x Solving -2x2 = -7 + 13x Solving for variable 'x'. Reorder the terms: 7 + -13x + -2x2 = -7 + 13x + 7 + -13x Reorder the terms: 7 + -13x + -2x2 = -7 + 7 + 13x + -13x Combine like terms: -7 + 7 = 0 7 + -13x + -2x2 = 0 + 13x + -13x 7 + -13x + -2x2 = 13x + -13x Combine like terms: 13x + -13x = 0 7 + -13x + -2x2 = 0 Factor a trinomial. (1 + -2x)(7 + x) = 0Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {0.5, -7}
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