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Simplifying 16x2 = -8 + 24x Solving 16x2 = -8 + 24x Solving for variable 'x'. Reorder the terms: 8 + -24x + 16x2 = -8 + 24x + 8 + -24x Reorder the terms: 8 + -24x + 16x2 = -8 + 8 + 24x + -24x Combine like terms: -8 + 8 = 0 8 + -24x + 16x2 = 0 + 24x + -24x 8 + -24x + 16x2 = 24x + -24x Combine like terms: 24x + -24x = 0 8 + -24x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(1 + -3x + 2x2) = 0 Factor a trinomial. 8((1 + -2x)(1 + -1x)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {0.5, 1}
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