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Simplifying -16x2 + 34x + 336 = 294 Reorder the terms: 336 + 34x + -16x2 = 294 Solving 336 + 34x + -16x2 = 294 Solving for variable 'x'. Reorder the terms: 336 + -294 + 34x + -16x2 = 294 + -294 Combine like terms: 336 + -294 = 42 42 + 34x + -16x2 = 294 + -294 Combine like terms: 294 + -294 = 0 42 + 34x + -16x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(21 + 17x + -8x2) = 0 Factor a trinomial. 2((3 + -1x)(7 + 8x)) = 0 Ignore the factor 2.Subproblem 1
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 = 3Subproblem 2
Set the factor '(7 + 8x)' equal to zero and attempt to solve: Simplifying 7 + 8x = 0 Solving 7 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 8x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 0 + -7 8x = 0 + -7 Combine like terms: 0 + -7 = -7 8x = -7 Divide each side by '8'. x = -0.875 Simplifying x = -0.875Solution
x = {3, -0.875}
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