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Simplifying 13x^{2}+ -28x = 0 Reorder the terms: -28x + 13x^{2}= 0 Solving -28x + 13x^{2}= 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-28 + 13x) = 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 '(-28 + 13x)' equal to zero and attempt to solve: Simplifying -28 + 13x = 0 Solving -28 + 13x = 0 Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 13x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 13x = 0 + 28 13x = 0 + 28 Combine like terms: 0 + 28 = 28 13x = 28 Divide each side by '13'. x = 2.153846154 Simplifying x = 2.153846154## Solution

x = {0, 2.153846154}

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