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Simplifying 25x2 + 85x = 0 Reorder the terms: 85x + 25x2 = 0 Solving 85x + 25x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(17 + 5x) = 0 Ignore the factor 5.Subproblem 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 '(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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