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Simplifying -2(3x + 1) + -2x = -4x(2x) + -4 Reorder the terms: -2(1 + 3x) + -2x = -4x(2x) + -4 (1 * -2 + 3x * -2) + -2x = -4x(2x) + -4 (-2 + -6x) + -2x = -4x(2x) + -4 Combine like terms: -6x + -2x = -8x -2 + -8x = -4x(2x) + -4 Remove parenthesis around (2x) -2 + -8x = -4x * 2x + -4 Reorder the terms for easier multiplication: -2 + -8x = -4 * 2x * x + -4 Multiply -4 * 2 -2 + -8x = -8x * x + -4 Multiply x * x -2 + -8x = -8x2 + -4 Reorder the terms: -2 + -8x = -4 + -8x2 Solving -2 + -8x = -4 + -8x2 Solving for variable 'x'. Reorder the terms: -2 + 4 + -8x + 8x2 = -4 + -8x2 + 4 + 8x2 Combine like terms: -2 + 4 = 2 2 + -8x + 8x2 = -4 + -8x2 + 4 + 8x2 Reorder the terms: 2 + -8x + 8x2 = -4 + 4 + -8x2 + 8x2 Combine like terms: -4 + 4 = 0 2 + -8x + 8x2 = 0 + -8x2 + 8x2 2 + -8x + 8x2 = -8x2 + 8x2 Combine like terms: -8x2 + 8x2 = 0 2 + -8x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(1 + -4x + 4x2) = 0 Factor a trinomial. 2((1 + -2x)(1 + -2x)) = 0 Ignore the factor 2.Subproblem 1
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 = 0.5Subproblem 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 = {0.5, 0.5}
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