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Simplifying 30x2 + 55x2 + 25x = 0 Reorder the terms: 25x + 30x2 + 55x2 = 0 Combine like terms: 30x2 + 55x2 = 85x2 25x + 85x2 = 0 Solving 25x + 85x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(5 + 17x) = 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 '(5 + 17x)' equal to zero and attempt to solve: Simplifying 5 + 17x = 0 Solving 5 + 17x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 17x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 17x = 0 + -5 17x = 0 + -5 Combine like terms: 0 + -5 = -5 17x = -5 Divide each side by '17'. x = -0.2941176471 Simplifying x = -0.2941176471Solution
x = {0, -0.2941176471}
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