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Simplifying 6x3 = 13x2 Solving 6x3 = 13x2 Solving for variable 'x'. Reorder the terms: -13x2 + 6x3 = 13x2 + -13x2 Combine like terms: 13x2 + -13x2 = 0 -13x2 + 6x3 = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(-13 + 6x) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(-13 + 6x)' equal to zero and attempt to solve: Simplifying -13 + 6x = 0 Solving -13 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 6x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 6x = 0 + 13 6x = 0 + 13 Combine like terms: 0 + 13 = 13 6x = 13 Divide each side by '6'. x = 2.166666667 Simplifying x = 2.166666667Solution
x = {0, 2.166666667}
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