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Simplifying 28 = -16x2 + 44x + 4 Reorder the terms: 28 = 4 + 44x + -16x2 Solving 28 = 4 + 44x + -16x2 Solving for variable 'x'. Combine like terms: 28 + -4 = 24 24 + -44x + 16x2 = 4 + 44x + -16x2 + -4 + -44x + 16x2 Reorder the terms: 24 + -44x + 16x2 = 4 + -4 + 44x + -44x + -16x2 + 16x2 Combine like terms: 4 + -4 = 0 24 + -44x + 16x2 = 0 + 44x + -44x + -16x2 + 16x2 24 + -44x + 16x2 = 44x + -44x + -16x2 + 16x2 Combine like terms: 44x + -44x = 0 24 + -44x + 16x2 = 0 + -16x2 + 16x2 24 + -44x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 24 + -44x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(6 + -11x + 4x2) = 0 Factor a trinomial. 4((3 + -4x)(2 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 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 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {0.75, 2}
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