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Simplifying 6x2 = 47x Solving 6x2 = 47x Solving for variable 'x'. Reorder the terms: -47x + 6x2 = 47x + -47x Combine like terms: 47x + -47x = 0 -47x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-47 + 6x) = 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 '(-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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