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Simplifying 4x2 + (31x) = 0 Reorder the terms: (31x) + 4x2 = 0 Solving (31x) + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(31 + 4x) = 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 '(31 + 4x)' equal to zero and attempt to solve: Simplifying 31 + 4x = 0 Solving 31 + 4x = 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 + 4x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 4x = 0 + -31 4x = 0 + -31 Combine like terms: 0 + -31 = -31 4x = -31 Divide each side by '4'. x = -7.75 Simplifying x = -7.75Solution
x = {0, -7.75}
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