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Simplifying 0 = 6x2 + 47x Reorder the terms: 0 = 47x + 6x2 Solving 0 = 47x + 6x2 Solving for variable 'x'. Remove the zero: -47x + -6x2 = 47x + 6x2 + -47x + -6x2 Reorder the terms: -47x + -6x2 = 47x + -47x + 6x2 + -6x2 Combine like terms: 47x + -47x = 0 -47x + -6x2 = 0 + 6x2 + -6x2 -47x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -47x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(47 + 6x) = 0 Ignore the factor -1.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 '(47 + 6x)' equal to zero and attempt to solve: Simplifying 47 + 6x = 0 Solving 47 + 6x = 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 + 6x = 0 + -47 Combine like terms: 47 + -47 = 0 0 + 6x = 0 + -47 6x = 0 + -47 Combine like terms: 0 + -47 = -47 6x = -47 Divide each side by '6'. x = -7.833333333 Simplifying x = -7.833333333Solution
x = {0, -7.833333333}
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