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Simplifying 300 = -16x2 + -2x + 633 Reorder the terms: 300 = 633 + -2x + -16x2 Solving 300 = 633 + -2x + -16x2 Solving for variable 'x'. Combine like terms: 300 + -633 = -333 -333 + 2x + 16x2 = 633 + -2x + -16x2 + -633 + 2x + 16x2 Reorder the terms: -333 + 2x + 16x2 = 633 + -633 + -2x + 2x + -16x2 + 16x2 Combine like terms: 633 + -633 = 0 -333 + 2x + 16x2 = 0 + -2x + 2x + -16x2 + 16x2 -333 + 2x + 16x2 = -2x + 2x + -16x2 + 16x2 Combine like terms: -2x + 2x = 0 -333 + 2x + 16x2 = 0 + -16x2 + 16x2 -333 + 2x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 -333 + 2x + 16x2 = 0 Factor a trinomial. (-37 + -8x)(9 + -2x) = 0Subproblem 1
Set the factor '(-37 + -8x)' equal to zero and attempt to solve: Simplifying -37 + -8x = 0 Solving -37 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + -8x = 0 + 37 Combine like terms: -37 + 37 = 0 0 + -8x = 0 + 37 -8x = 0 + 37 Combine like terms: 0 + 37 = 37 -8x = 37 Divide each side by '-8'. x = -4.625 Simplifying x = -4.625Subproblem 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 = {-4.625, 4.5}
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