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Simplifying 624 = 16x2 + 8x Reorder the terms: 624 = 8x + 16x2 Solving 624 = 8x + 16x2 Solving for variable 'x'. Reorder the terms: 624 + -8x + -16x2 = 8x + -8x + 16x2 + -16x2 Combine like terms: 8x + -8x = 0 624 + -8x + -16x2 = 0 + 16x2 + -16x2 624 + -8x + -16x2 = 16x2 + -16x2 Combine like terms: 16x2 + -16x2 = 0 624 + -8x + -16x2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(78 + -1x + -2x2) = 0 Factor a trinomial. 8((6 + -1x)(13 + 2x)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 2
Set the factor '(13 + 2x)' equal to zero and attempt to solve: Simplifying 13 + 2x = 0 Solving 13 + 2x = 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 + 2x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = 0 + -13 2x = 0 + -13 Combine like terms: 0 + -13 = -13 2x = -13 Divide each side by '2'. x = -6.5 Simplifying x = -6.5Solution
x = {6, -6.5}
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