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Simplifying 5x3 = 5x2 + 12x2 Combine like terms: 5x2 + 12x2 = 17x2 5x3 = 17x2 Solving 5x3 = 17x2 Solving for variable 'x'. Reorder the terms: -17x2 + 5x3 = 17x2 + -17x2 Combine like terms: 17x2 + -17x2 = 0 -17x2 + 5x3 = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(-17 + 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 '(-17 + 5x)' equal to zero and attempt to solve: Simplifying -17 + 5x = 0 Solving -17 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 5x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 5x = 0 + 17 5x = 0 + 17 Combine like terms: 0 + 17 = 17 5x = 17 Divide each side by '5'. x = 3.4 Simplifying x = 3.4Solution
x = {0, 3.4}
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