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Simplifying 13x2 = 8x Solving 13x2 = 8x Solving for variable 'x'. Reorder the terms: -8x + 13x2 = 8x + -8x Combine like terms: 8x + -8x = 0 -8x + 13x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-8 + 13x) = 0Subproblem 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 '(-8 + 13x)' equal to zero and attempt to solve: Simplifying -8 + 13x = 0 Solving -8 + 13x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 13x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 13x = 0 + 8 13x = 0 + 8 Combine like terms: 0 + 8 = 8 13x = 8 Divide each side by '13'. x = 0.6153846154 Simplifying x = 0.6153846154Solution
x = {0, 0.6153846154}
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