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Simplifying 2x + 1 + -1 + -1x(-1x) + -1 = x + -2x + -1 + 1 + -1(-1x) + -1 Remove parenthesis around (-1x) 2x + 1 + -1 + -1x * -1x + -1 = x + -2x + -1 + 1 + -1(-1x) + -1 Reorder the terms for easier multiplication: 2x + 1 + -1 + -1 * -1x * x + -1 = x + -2x + -1 + 1 + -1(-1x) + -1 Multiply -1 * -1 2x + 1 + -1 + 1x * x + -1 = x + -2x + -1 + 1 + -1(-1x) + -1 Multiply x * x 2x + 1 + -1 + 1x2 + -1 = x + -2x + -1 + 1 + -1(-1x) + -1 Reorder the terms: 1 + -1 + -1 + 2x + 1x2 = x + -2x + -1 + 1 + -1(-1x) + -1 Combine like terms: 1 + -1 = 0 0 + -1 + 2x + 1x2 = x + -2x + -1 + 1 + -1(-1x) + -1 -1 + 2x + 1x2 = x + -2x + -1 + 1 + -1(-1x) + -1 Remove parenthesis around (-1x) -1 + 2x + 1x2 = x + -2x + -1 + 1 + -1 * -1x + -1 Multiply -1 * -1 -1 + 2x + 1x2 = x + -2x + -1 + 1 + 1x + -1 Reorder the terms: -1 + 2x + 1x2 = -1 + 1 + -1 + x + -2x + 1x Combine like terms: -1 + 1 = 0 -1 + 2x + 1x2 = 0 + -1 + x + -2x + 1x -1 + 2x + 1x2 = -1 + x + -2x + 1x Combine like terms: x + -2x = -1x -1 + 2x + 1x2 = -1 + -1x + 1x Combine like terms: -1x + 1x = 0 -1 + 2x + 1x2 = -1 + 0 -1 + 2x + 1x2 = -1 Add '1' to each side of the equation. -1 + 2x + 1 + 1x2 = -1 + 1 Reorder the terms: -1 + 1 + 2x + 1x2 = -1 + 1 Combine like terms: -1 + 1 = 0 0 + 2x + 1x2 = -1 + 1 2x + 1x2 = -1 + 1 Combine like terms: -1 + 1 = 0 2x + 1x2 = 0 Solving 2x + 1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(2 + x) = 0Subproblem 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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {0, -2}
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