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Simplifying 240 = -16x2 + 44x + 320 Reorder the terms: 240 = 320 + 44x + -16x2 Solving 240 = 320 + 44x + -16x2 Solving for variable 'x'. Combine like terms: 240 + -320 = -80 -80 + -44x + 16x2 = 320 + 44x + -16x2 + -320 + -44x + 16x2 Reorder the terms: -80 + -44x + 16x2 = 320 + -320 + 44x + -44x + -16x2 + 16x2 Combine like terms: 320 + -320 = 0 -80 + -44x + 16x2 = 0 + 44x + -44x + -16x2 + 16x2 -80 + -44x + 16x2 = 44x + -44x + -16x2 + 16x2 Combine like terms: 44x + -44x = 0 -80 + -44x + 16x2 = 0 + -16x2 + 16x2 -80 + -44x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 -80 + -44x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-20 + -11x + 4x2) = 0 Factor a trinomial. 4((-5 + -4x)(4 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-5 + -4x)' equal to zero and attempt to solve: Simplifying -5 + -4x = 0 Solving -5 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -4x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4x = 0 + 5 -4x = 0 + 5 Combine like terms: 0 + 5 = 5 -4x = 5 Divide each side by '-4'. x = -1.25 Simplifying x = -1.25Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-1.25, 4}
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