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Simplifying 3x2 + 12x = 3x(x + 4x) Reorder the terms: 12x + 3x2 = 3x(x + 4x) Combine like terms: x + 4x = 5x 12x + 3x2 = 3x(5x) Remove parenthesis around (5x) 12x + 3x2 = 3x * 5x Reorder the terms for easier multiplication: 12x + 3x2 = 3 * 5x * x Multiply 3 * 5 12x + 3x2 = 15x * x Multiply x * x 12x + 3x2 = 15x2 Solving 12x + 3x2 = 15x2 Solving for variable 'x'. Combine like terms: 3x2 + -15x2 = -12x2 12x + -12x2 = 15x2 + -15x2 Combine like terms: 15x2 + -15x2 = 0 12x + -12x2 = 0 Factor out the Greatest Common Factor (GCF), '12x'. 12x(1 + -1x) = 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 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {0, 1}
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