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Simplifying 126 = -16x2 + 90x Reorder the terms: 126 = 90x + -16x2 Solving 126 = 90x + -16x2 Solving for variable 'x'. Reorder the terms: 126 + -90x + 16x2 = 90x + -90x + -16x2 + 16x2 Combine like terms: 90x + -90x = 0 126 + -90x + 16x2 = 0 + -16x2 + 16x2 126 + -90x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 126 + -90x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(63 + -45x + 8x2) = 0 Factor a trinomial. 2((21 + -8x)(3 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(21 + -8x)' equal to zero and attempt to solve: Simplifying 21 + -8x = 0 Solving 21 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -8x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -8x = 0 + -21 -8x = 0 + -21 Combine like terms: 0 + -21 = -21 -8x = -21 Divide each side by '-8'. x = 2.625 Simplifying x = 2.625Subproblem 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 = {2.625, 3}
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