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Simplifying -16x2 + -22x + 100 = 62 Reorder the terms: 100 + -22x + -16x2 = 62 Solving 100 + -22x + -16x2 = 62 Solving for variable 'x'. Reorder the terms: 100 + -62 + -22x + -16x2 = 62 + -62 Combine like terms: 100 + -62 = 38 38 + -22x + -16x2 = 62 + -62 Combine like terms: 62 + -62 = 0 38 + -22x + -16x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(19 + -11x + -8x2) = 0 Factor a trinomial. 2((1 + -1x)(19 + 8x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(19 + 8x)' equal to zero and attempt to solve: Simplifying 19 + 8x = 0 Solving 19 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 8x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 8x = 0 + -19 8x = 0 + -19 Combine like terms: 0 + -19 = -19 8x = -19 Divide each side by '8'. x = -2.375 Simplifying x = -2.375Solution
x = {1, -2.375}
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