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Simplifying -16x2 + 20x + 50 = 14 Reorder the terms: 50 + 20x + -16x2 = 14 Solving 50 + 20x + -16x2 = 14 Solving for variable 'x'. Reorder the terms: 50 + -14 + 20x + -16x2 = 14 + -14 Combine like terms: 50 + -14 = 36 36 + 20x + -16x2 = 14 + -14 Combine like terms: 14 + -14 = 0 36 + 20x + -16x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(9 + 5x + -4x2) = 0 Factor a trinomial. 4((9 + -4x)(1 + x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(9 + -4x)' equal to zero and attempt to solve: Simplifying 9 + -4x = 0 Solving 9 + -4x = 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 + -4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 0 + -9 -4x = 0 + -9 Combine like terms: 0 + -9 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {2.25, -1}
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