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Simplifying 4 = (4 + 4x + 4x2) Remove parenthesis around (4 + 4x + 4x2) 4 = 4 + 4x + 4x2 Add '-4' to each side of the equation. 4 + -4 = 4 + 4x + -4 + 4x2 Combine like terms: 4 + -4 = 0 0 = 4 + 4x + -4 + 4x2 Reorder the terms: 0 = 4 + -4 + 4x + 4x2 Combine like terms: 4 + -4 = 0 0 = 0 + 4x + 4x2 0 = 4x + 4x2 Solving 0 = 4x + 4x2 Solving for variable 'x'. Remove the zero: -4x + -4x2 = 4x + 4x2 + -4x + -4x2 Reorder the terms: -4x + -4x2 = 4x + -4x + 4x2 + -4x2 Combine like terms: 4x + -4x = 0 -4x + -4x2 = 0 + 4x2 + -4x2 -4x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -4x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '-4x'. -4x(1 + x) = 0 Ignore the factor -4.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 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {0, -1}
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