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Simplifying 3x2 = 26x Solving 3x2 = 26x Solving for variable 'x'. Reorder the terms: -26x + 3x2 = 26x + -26x Combine like terms: 26x + -26x = 0 -26x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-26 + 3x) = 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 '(-26 + 3x)' equal to zero and attempt to solve: Simplifying -26 + 3x = 0 Solving -26 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 3x = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 3x = 0 + 26 3x = 0 + 26 Combine like terms: 0 + 26 = 26 3x = 26 Divide each side by '3'. x = 8.666666667 Simplifying x = 8.666666667Solution
x = {0, 8.666666667}
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