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Simplifying 5x3 = 6x2 Solving 5x3 = 6x2 Solving for variable 'x'. Reorder the terms: -6x2 + 5x3 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -6x2 + 5x3 = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(-6 + 5x) = 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 '(-6 + 5x)' equal to zero and attempt to solve: Simplifying -6 + 5x = 0 Solving -6 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 0 + 6 5x = 0 + 6 Combine like terms: 0 + 6 = 6 5x = 6 Divide each side by '5'. x = 1.2 Simplifying x = 1.2Solution
x = {0, 1.2}
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