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Simplifying 2x2 + -5x + -126 = 7 Reorder the terms: -126 + -5x + 2x2 = 7 Solving -126 + -5x + 2x2 = 7 Solving for variable 'x'. Reorder the terms: -126 + -7 + -5x + 2x2 = 7 + -7 Combine like terms: -126 + -7 = -133 -133 + -5x + 2x2 = 7 + -7 Combine like terms: 7 + -7 = 0 -133 + -5x + 2x2 = 0 Factor a trinomial. (-7 + -1x)(19 + -2x) = 0Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 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 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7Subproblem 2
Set the factor '(19 + -2x)' equal to zero and attempt to solve: Simplifying 19 + -2x = 0 Solving 19 + -2x = 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 + -2x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -2x = 0 + -19 -2x = 0 + -19 Combine like terms: 0 + -19 = -19 -2x = -19 Divide each side by '-2'. x = 9.5 Simplifying x = 9.5Solution
x = {-7, 9.5}
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