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Simplifying (x2 + 5x + 4) + (x2 + 5x + 4) + (x2 + 5x + 4) + (x2 + 5x + 4) = 0 Reorder the terms: (4 + 5x + x2) + (x2 + 5x + 4) + (x2 + 5x + 4) + (x2 + 5x + 4) = 0 Remove parenthesis around (4 + 5x + x2) 4 + 5x + x2 + (x2 + 5x + 4) + (x2 + 5x + 4) + (x2 + 5x + 4) = 0 Reorder the terms: 4 + 5x + x2 + (4 + 5x + x2) + (x2 + 5x + 4) + (x2 + 5x + 4) = 0 Remove parenthesis around (4 + 5x + x2) 4 + 5x + x2 + 4 + 5x + x2 + (x2 + 5x + 4) + (x2 + 5x + 4) = 0 Reorder the terms: 4 + 5x + x2 + 4 + 5x + x2 + (4 + 5x + x2) + (x2 + 5x + 4) = 0 Remove parenthesis around (4 + 5x + x2) 4 + 5x + x2 + 4 + 5x + x2 + 4 + 5x + x2 + (x2 + 5x + 4) = 0 Reorder the terms: 4 + 5x + x2 + 4 + 5x + x2 + 4 + 5x + x2 + (4 + 5x + x2) = 0 Remove parenthesis around (4 + 5x + x2) 4 + 5x + x2 + 4 + 5x + x2 + 4 + 5x + x2 + 4 + 5x + x2 = 0 Reorder the terms: 4 + 4 + 4 + 4 + 5x + 5x + 5x + 5x + x2 + x2 + x2 + x2 = 0 Combine like terms: 4 + 4 = 8 8 + 4 + 4 + 5x + 5x + 5x + 5x + x2 + x2 + x2 + x2 = 0 Combine like terms: 8 + 4 = 12 12 + 4 + 5x + 5x + 5x + 5x + x2 + x2 + x2 + x2 = 0 Combine like terms: 12 + 4 = 16 16 + 5x + 5x + 5x + 5x + x2 + x2 + x2 + x2 = 0 Combine like terms: 5x + 5x = 10x 16 + 10x + 5x + 5x + x2 + x2 + x2 + x2 = 0 Combine like terms: 10x + 5x = 15x 16 + 15x + 5x + x2 + x2 + x2 + x2 = 0 Combine like terms: 15x + 5x = 20x 16 + 20x + x2 + x2 + x2 + x2 = 0 Combine like terms: x2 + x2 = 2x2 16 + 20x + 2x2 + x2 + x2 = 0 Combine like terms: 2x2 + x2 = 3x2 16 + 20x + 3x2 + x2 = 0 Combine like terms: 3x2 + x2 = 4x2 16 + 20x + 4x2 = 0 Solving 16 + 20x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(4 + 5x + x2) = 0 Factor a trinomial. 4((4 + x)(1 + x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 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 = {-4, -1}
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