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Simplifying -16x2 + 6x + 52 = 0 Reorder the terms: 52 + 6x + -16x2 = 0 Solving 52 + 6x + -16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(26 + 3x + -8x2) = 0 Factor a trinomial. 2((2 + -1x)(13 + 8x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 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 = {2, -1.625}
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