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Simplifying 4x2 + -10 + 8x + 5 + x2 + 2x + 10 = 0 Reorder the terms: -10 + 5 + 10 + 8x + 2x + 4x2 + x2 = 0 Combine like terms: -10 + 5 = -5 -5 + 10 + 8x + 2x + 4x2 + x2 = 0 Combine like terms: -5 + 10 = 5 5 + 8x + 2x + 4x2 + x2 = 0 Combine like terms: 8x + 2x = 10x 5 + 10x + 4x2 + x2 = 0 Combine like terms: 4x2 + x2 = 5x2 5 + 10x + 5x2 = 0 Solving 5 + 10x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(1 + 2x + x2) = 0 Factor a trinomial. 5((1 + x)(1 + x)) = 0 Ignore the factor 5.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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