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Simplifying 7x3 + 31x2 = 0 Reorder the terms: 31x2 + 7x3 = 0 Solving 31x2 + 7x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(31 + 7x) = 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 '(31 + 7x)' equal to zero and attempt to solve: Simplifying 31 + 7x = 0 Solving 31 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 7x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 7x = 0 + -31 7x = 0 + -31 Combine like terms: 0 + -31 = -31 7x = -31 Divide each side by '7'. x = -4.428571429 Simplifying x = -4.428571429Solution
x = {0, -4.428571429}
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