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Simplifying 2x2 + x + -528 = 0 Reorder the terms: -528 + x + 2x2 = 0 Solving -528 + x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-33 + -2x)(16 + -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 '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16Solution
x = {-16.5, 16}
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