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Simplifying 45 = -16x2 + 50x + 6 Reorder the terms: 45 = 6 + 50x + -16x2 Solving 45 = 6 + 50x + -16x2 Solving for variable 'x'. Combine like terms: 45 + -6 = 39 39 + -50x + 16x2 = 6 + 50x + -16x2 + -6 + -50x + 16x2 Reorder the terms: 39 + -50x + 16x2 = 6 + -6 + 50x + -50x + -16x2 + 16x2 Combine like terms: 6 + -6 = 0 39 + -50x + 16x2 = 0 + 50x + -50x + -16x2 + 16x2 39 + -50x + 16x2 = 50x + -50x + -16x2 + 16x2 Combine like terms: 50x + -50x = 0 39 + -50x + 16x2 = 0 + -16x2 + 16x2 39 + -50x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 39 + -50x + 16x2 = 0 Factor a trinomial. (3 + -2x)(13 + -8x) = 0Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Subproblem 2
Set the factor '(13 + -8x)' equal to zero and attempt to solve: Simplifying 13 + -8x = 0 Solving 13 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -8x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -8x = 0 + -13 -8x = 0 + -13 Combine like terms: 0 + -13 = -13 -8x = -13 Divide each side by '-8'. x = 1.625 Simplifying x = 1.625Solution
x = {1.5, 1.625}
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