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Simplifying 12(10x2) + -47x = 0 Remove parenthesis around (10x2) 12 * 10x2 + -47x = 0 Multiply 12 * 10 120x2 + -47x = 0 Reorder the terms: -47x + 120x2 = 0 Solving -47x + 120x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-47 + 120x) = 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 + 120x)' equal to zero and attempt to solve: Simplifying -47 + 120x = 0 Solving -47 + 120x = 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 + 120x = 0 + 47 Combine like terms: -47 + 47 = 0 0 + 120x = 0 + 47 120x = 0 + 47 Combine like terms: 0 + 47 = 47 120x = 47 Divide each side by '120'. x = 0.3916666667 Simplifying x = 0.3916666667Solution
x = {0, 0.3916666667}
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