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Simplifying 4x2 + 10x + 6 = 2x2 + 6x + 4 Reorder the terms: 6 + 10x + 4x2 = 2x2 + 6x + 4 Reorder the terms: 6 + 10x + 4x2 = 4 + 6x + 2x2 Solving 6 + 10x + 4x2 = 4 + 6x + 2x2 Solving for variable 'x'. Reorder the terms: 6 + -4 + 10x + -6x + 4x2 + -2x2 = 4 + 6x + 2x2 + -4 + -6x + -2x2 Combine like terms: 6 + -4 = 2 2 + 10x + -6x + 4x2 + -2x2 = 4 + 6x + 2x2 + -4 + -6x + -2x2 Combine like terms: 10x + -6x = 4x 2 + 4x + 4x2 + -2x2 = 4 + 6x + 2x2 + -4 + -6x + -2x2 Combine like terms: 4x2 + -2x2 = 2x2 2 + 4x + 2x2 = 4 + 6x + 2x2 + -4 + -6x + -2x2 Reorder the terms: 2 + 4x + 2x2 = 4 + -4 + 6x + -6x + 2x2 + -2x2 Combine like terms: 4 + -4 = 0 2 + 4x + 2x2 = 0 + 6x + -6x + 2x2 + -2x2 2 + 4x + 2x2 = 6x + -6x + 2x2 + -2x2 Combine like terms: 6x + -6x = 0 2 + 4x + 2x2 = 0 + 2x2 + -2x2 2 + 4x + 2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 2 + 4x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(1 + 2x + x2) = 0 Factor a trinomial. 2((1 + x)(1 + x)) = 0 Ignore the factor 2.Subproblem 1
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 = -1Subproblem 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 = {-1, -1}
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