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Simplifying 4x(x + -1) + 2x = 6x + -4 Reorder the terms: 4x(-1 + x) + 2x = 6x + -4 (-1 * 4x + x * 4x) + 2x = 6x + -4 (-4x + 4x2) + 2x = 6x + -4 Reorder the terms: -4x + 2x + 4x2 = 6x + -4 Combine like terms: -4x + 2x = -2x -2x + 4x2 = 6x + -4 Reorder the terms: -2x + 4x2 = -4 + 6x Solving -2x + 4x2 = -4 + 6x Solving for variable 'x'. Reorder the terms: 4 + -2x + -6x + 4x2 = -4 + 6x + 4 + -6x Combine like terms: -2x + -6x = -8x 4 + -8x + 4x2 = -4 + 6x + 4 + -6x Reorder the terms: 4 + -8x + 4x2 = -4 + 4 + 6x + -6x Combine like terms: -4 + 4 = 0 4 + -8x + 4x2 = 0 + 6x + -6x 4 + -8x + 4x2 = 6x + -6x Combine like terms: 6x + -6x = 0 4 + -8x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(1 + -2x + x2) = 0 Factor a trinomial. 4((1 + -1x)(1 + -1x)) = 0 Ignore the factor 4.Subproblem 1
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 = 1Subproblem 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 = {1, 1}
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