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Simplifying x2 + 16x2 + 60x = 0 Reorder the terms: 60x + x2 + 16x2 = 0 Combine like terms: x2 + 16x2 = 17x2 60x + 17x2 = 0 Solving 60x + 17x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(60 + 17x) = 0Subproblem 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 '(60 + 17x)' equal to zero and attempt to solve: Simplifying 60 + 17x = 0 Solving 60 + 17x = 0 Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 17x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 17x = 0 + -60 17x = 0 + -60 Combine like terms: 0 + -60 = -60 17x = -60 Divide each side by '17'. x = -3.529411765 Simplifying x = -3.529411765Solution
x = {0, -3.529411765}
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