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Simplifying 13x2 = 3x Solving 13x2 = 3x Solving for variable 'x'. Reorder the terms: -3x + 13x2 = 3x + -3x Combine like terms: 3x + -3x = 0 -3x + 13x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-3 + 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 '(-3 + 13x)' equal to zero and attempt to solve: Simplifying -3 + 13x = 0 Solving -3 + 13x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 13x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 13x = 0 + 3 13x = 0 + 3 Combine like terms: 0 + 3 = 3 13x = 3 Divide each side by '13'. x = 0.2307692308 Simplifying x = 0.2307692308Solution
x = {0, 0.2307692308}
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