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Simplifying 0 = -16x2 + 70x + 9 Reorder the terms: 0 = 9 + 70x + -16x2 Solving 0 = 9 + 70x + -16x2 Solving for variable 'x'. Combine like terms: 0 + -9 = -9 -9 + -70x + 16x2 = 9 + 70x + -16x2 + -9 + -70x + 16x2 Reorder the terms: -9 + -70x + 16x2 = 9 + -9 + 70x + -70x + -16x2 + 16x2 Combine like terms: 9 + -9 = 0 -9 + -70x + 16x2 = 0 + 70x + -70x + -16x2 + 16x2 -9 + -70x + 16x2 = 70x + -70x + -16x2 + 16x2 Combine like terms: 70x + -70x = 0 -9 + -70x + 16x2 = 0 + -16x2 + 16x2 -9 + -70x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 -9 + -70x + 16x2 = 0 Factor a trinomial. (-1 + -8x)(9 + -2x) = 0Subproblem 1
Set the factor '(-1 + -8x)' equal to zero and attempt to solve: Simplifying -1 + -8x = 0 Solving -1 + -8x = 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 + -8x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -8x = 0 + 1 -8x = 0 + 1 Combine like terms: 0 + 1 = 1 -8x = 1 Divide each side by '-8'. x = -0.125 Simplifying x = -0.125Subproblem 2
Set the factor '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 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 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5Solution
x = {-0.125, 4.5}
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