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Simplifying 3x(4x + 12x) = 12x + 36x Combine like terms: 4x + 12x = 16x 3x(16x) = 12x + 36x Remove parenthesis around (16x) 3x * 16x = 12x + 36x Reorder the terms for easier multiplication: 3 * 16x * x = 12x + 36x Multiply 3 * 16 48x * x = 12x + 36x Multiply x * x 48x2 = 12x + 36x Combine like terms: 12x + 36x = 48x 48x2 = 48x Solving 48x2 = 48x Solving for variable 'x'. Reorder the terms: -48x + 48x2 = 48x + -48x Combine like terms: 48x + -48x = 0 -48x + 48x2 = 0 Factor out the Greatest Common Factor (GCF), '48x'. 48x(-1 + x) = 0 Ignore the factor 48.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 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 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 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1Solution
x = {0, 1}
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