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Simplifying 2x * 3x = 3x * 4x2 Reorder the terms for easier multiplication: 2 * 3x * x = 3x * 4x2 Multiply 2 * 3 6x * x = 3x * 4x2 Multiply x * x 6x2 = 3x * 4x2 Reorder the terms for easier multiplication: 6x2 = 3 * 4x * x2 Multiply 3 * 4 6x2 = 12x * x2 Multiply x * x2 6x2 = 12x3 Solving 6x2 = 12x3 Solving for variable 'x'. Combine like terms: 12x3 + -12x3 = 0 6x2 + -12x3 = 0 Factor out the Greatest Common Factor (GCF), '6x2'. 6x2(1 + -2x) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {0, 0.5}
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