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Simplifying 2x2 + -5x = 627 Reorder the terms: -5x + 2x2 = 627 Solving -5x + 2x2 = 627 Solving for variable 'x'. Reorder the terms: -627 + -5x + 2x2 = 627 + -627 Combine like terms: 627 + -627 = 0 -627 + -5x + 2x2 = 0 Factor a trinomial. (-33 + -2x)(19 + -1x) = 0Subproblem 1
Set the factor '(-33 + -2x)' equal to zero and attempt to solve: Simplifying -33 + -2x = 0 Solving -33 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + -2x = 0 + 33 Combine like terms: -33 + 33 = 0 0 + -2x = 0 + 33 -2x = 0 + 33 Combine like terms: 0 + 33 = 33 -2x = 33 Divide each side by '-2'. x = -16.5 Simplifying x = -16.5Subproblem 2
Set the factor '(19 + -1x)' equal to zero and attempt to solve: Simplifying 19 + -1x = 0 Solving 19 + -1x = 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 + -1x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -1x = 0 + -19 -1x = 0 + -19 Combine like terms: 0 + -19 = -19 -1x = -19 Divide each side by '-1'. x = 19 Simplifying x = 19Solution
x = {-16.5, 19}
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