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Simplifying 17x2 = 5x3 Solving 17x2 = 5x3 Solving for variable 'x'. Combine like terms: 5x3 + -5x3 = 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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