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Simplifying 44 = -16x2 + -4x + 200 Reorder the terms: 44 = 200 + -4x + -16x2 Solving 44 = 200 + -4x + -16x2 Solving for variable 'x'. Combine like terms: 44 + -200 = -156 -156 + 4x + 16x2 = 200 + -4x + -16x2 + -200 + 4x + 16x2 Reorder the terms: -156 + 4x + 16x2 = 200 + -200 + -4x + 4x + -16x2 + 16x2 Combine like terms: 200 + -200 = 0 -156 + 4x + 16x2 = 0 + -4x + 4x + -16x2 + 16x2 -156 + 4x + 16x2 = -4x + 4x + -16x2 + 16x2 Combine like terms: -4x + 4x = 0 -156 + 4x + 16x2 = 0 + -16x2 + 16x2 -156 + 4x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 -156 + 4x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-39 + x + 4x2) = 0 Factor a trinomial. 4((-13 + -4x)(3 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-13 + -4x)' equal to zero and attempt to solve: Simplifying -13 + -4x = 0 Solving -13 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -4x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -4x = 0 + 13 -4x = 0 + 13 Combine like terms: 0 + 13 = 13 -4x = 13 Divide each side by '-4'. x = -3.25 Simplifying x = -3.25Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-3.25, 3}
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