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Simplifying 14x^{2}+ -5x = 0 Reorder the terms: -5x + 14x^{2}= 0 Solving -5x + 14x^{2}= 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-5 + 14x) = 0## 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 = 0## Subproblem 2

Set the factor '(-5 + 14x)' equal to zero and attempt to solve: Simplifying -5 + 14x = 0 Solving -5 + 14x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 14x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 14x = 0 + 5 14x = 0 + 5 Combine like terms: 0 + 5 = 5 14x = 5 Divide each side by '14'. x = 0.3571428571 Simplifying x = 0.3571428571## Solution

x = {0, 0.3571428571}

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