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Simplifying (x + -5)(x + 1) + 5 = 0 Reorder the terms: (-5 + x)(x + 1) + 5 = 0 Reorder the terms: (-5 + x)(1 + x) + 5 = 0 Multiply (-5 + x) * (1 + x) (-5(1 + x) + x(1 + x)) + 5 = 0 ((1 * -5 + x * -5) + x(1 + x)) + 5 = 0 ((-5 + -5x) + x(1 + x)) + 5 = 0 (-5 + -5x + (1 * x + x * x)) + 5 = 0 (-5 + -5x + (1x + x2)) + 5 = 0 Combine like terms: -5x + 1x = -4x (-5 + -4x + x2) + 5 = 0 Reorder the terms: -5 + 5 + -4x + x2 = 0 Combine like terms: -5 + 5 = 0 0 + -4x + x2 = 0 -4x + x2 = 0 Solving -4x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-4 + x) = 0Subproblem 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 '(-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 = 4Solution
x = {0, 4}
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