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Simplifying 4x2 + 2x = 2x(x + 2x) Reorder the terms: 2x + 4x2 = 2x(x + 2x) Combine like terms: x + 2x = 3x 2x + 4x2 = 2x(3x) Remove parenthesis around (3x) 2x + 4x2 = 2x * 3x Reorder the terms for easier multiplication: 2x + 4x2 = 2 * 3x * x Multiply 2 * 3 2x + 4x2 = 6x * x Multiply x * x 2x + 4x2 = 6x2 Solving 2x + 4x2 = 6x2 Solving for variable 'x'. Combine like terms: 4x2 + -6x2 = -2x2 2x + -2x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 2x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(1 + -1x) = 0 Ignore the factor 2.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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