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Simplifying 12x3 + 47x2 = 0 Reorder the terms: 47x2 + 12x3 = 0 Solving 47x2 + 12x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(47 + 12x) = 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 '(47 + 12x)' equal to zero and attempt to solve: Simplifying 47 + 12x = 0 Solving 47 + 12x = 0 Move all terms containing x to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 12x = 0 + -47 Combine like terms: 47 + -47 = 0 0 + 12x = 0 + -47 12x = 0 + -47 Combine like terms: 0 + -47 = -47 12x = -47 Divide each side by '12'. x = -3.916666667 Simplifying x = -3.916666667Solution
x = {0, -3.916666667}
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