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Simplifying 4x2 + -5x + -1071 = 0 Reorder the terms: -1071 + -5x + 4x2 = 0 Solving -1071 + -5x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-63 + -4x)(17 + -1x) = 0Subproblem 1
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 = -15.75Subproblem 2
Set the factor '(17 + -1x)' equal to zero and attempt to solve: Simplifying 17 + -1x = 0 Solving 17 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 0 + -17 -1x = 0 + -17 Combine like terms: 0 + -17 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17Solution
x = {-15.75, 17}
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