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Simplifying 4x(12x) = 12x Remove parenthesis around (12x) 4x * 12x = 12x Reorder the terms for easier multiplication: 4 * 12x * x = 12x Multiply 4 * 12 48x * x = 12x Multiply x * x 48x2 = 12x Solving 48x2 = 12x Solving for variable 'x'. Reorder the terms: -12x + 48x2 = 12x + -12x Combine like terms: 12x + -12x = 0 -12x + 48x2 = 0 Factor out the Greatest Common Factor (GCF), '12x'. 12x(-1 + 4x) = 0 Ignore the factor 12.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 '(-1 + 4x)' equal to zero and attempt to solve: Simplifying -1 + 4x = 0 Solving -1 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 4x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 0 + 1 4x = 0 + 1 Combine like terms: 0 + 1 = 1 4x = 1 Divide each side by '4'. x = 0.25 Simplifying x = 0.25Solution
x = {0, 0.25}
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