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