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Simplifying (r + 4)(r + -2) = 0 Reorder the terms: (4 + r)(r + -2) = 0 Reorder the terms: (4 + r)(-2 + r) = 0 Multiply (4 + r) * (-2 + r) (4(-2 + r) + r(-2 + r)) = 0 ((-2 * 4 + r * 4) + r(-2 + r)) = 0 ((-8 + 4r) + r(-2 + r)) = 0 (-8 + 4r + (-2 * r + r * r)) = 0 (-8 + 4r + (-2r + r2)) = 0 Combine like terms: 4r + -2r = 2r (-8 + 2r + r2) = 0 Solving -8 + 2r + r2 = 0 Solving for variable 'r'. Factor a trinomial. (-4 + -1r)(2 + -1r) = 0Subproblem 1
Set the factor '(-4 + -1r)' equal to zero and attempt to solve: Simplifying -4 + -1r = 0 Solving -4 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1r = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1r = 0 + 4 -1r = 0 + 4 Combine like terms: 0 + 4 = 4 -1r = 4 Divide each side by '-1'. r = -4 Simplifying r = -4Subproblem 2
Set the factor '(2 + -1r)' equal to zero and attempt to solve: Simplifying 2 + -1r = 0 Solving 2 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1r = 0 + -2 -1r = 0 + -2 Combine like terms: 0 + -2 = -2 -1r = -2 Divide each side by '-1'. r = 2 Simplifying r = 2Solution
r = {-4, 2}
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