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Simplifying -16x2 + -5x + 500 = 446 Reorder the terms: 500 + -5x + -16x2 = 446 Solving 500 + -5x + -16x2 = 446 Solving for variable 'x'. Reorder the terms: 500 + -446 + -5x + -16x2 = 446 + -446 Combine like terms: 500 + -446 = 54 54 + -5x + -16x2 = 446 + -446 Combine like terms: 446 + -446 = 0 54 + -5x + -16x2 = 0 Factor a trinomial. (27 + -16x)(2 + x) = 0Subproblem 1
Set the factor '(27 + -16x)' equal to zero and attempt to solve: Simplifying 27 + -16x = 0 Solving 27 + -16x = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -16x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -16x = 0 + -27 -16x = 0 + -27 Combine like terms: 0 + -27 = -27 -16x = -27 Divide each side by '-16'. x = 1.6875 Simplifying x = 1.6875Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {1.6875, -2}
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