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Simplifying 4x2 + -27x = 567 Reorder the terms: -27x + 4x2 = 567 Solving -27x + 4x2 = 567 Solving for variable 'x'. Reorder the terms: -567 + -27x + 4x2 = 567 + -567 Combine like terms: 567 + -567 = 0 -567 + -27x + 4x2 = 0 Factor a trinomial. (-9 + -1x)(63 + -4x) = 0Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve: Simplifying -9 + -1x = 0 Solving -9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 0 + 9 -1x = 0 + 9 Combine like terms: 0 + 9 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9Subproblem 2
Set the factor '(63 + -4x)' equal to zero and attempt to solve: Simplifying 63 + -4x = 0 Solving 63 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + -4x = 0 + -63 Combine like terms: 63 + -63 = 0 0 + -4x = 0 + -63 -4x = 0 + -63 Combine like terms: 0 + -63 = -63 -4x = -63 Divide each side by '-4'. x = 15.75 Simplifying x = 15.75Solution
x = {-9, 15.75}
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