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Simplifying 8x(2x + -1) = 14x Reorder the terms: 8x(-1 + 2x) = 14x (-1 * 8x + 2x * 8x) = 14x (-8x + 16x2) = 14x Solving -8x + 16x2 = 14x Solving for variable 'x'. Reorder the terms: -8x + -14x + 16x2 = 14x + -14x Combine like terms: -8x + -14x = -22x -22x + 16x2 = 14x + -14x Combine like terms: 14x + -14x = 0 -22x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-11 + 8x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-11 + 8x)' equal to zero and attempt to solve: Simplifying -11 + 8x = 0 Solving -11 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 8x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 8x = 0 + 11 8x = 0 + 11 Combine like terms: 0 + 11 = 11 8x = 11 Divide each side by '8'. x = 1.375 Simplifying x = 1.375Solution
x = {0, 1.375}
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