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