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Simplifying (7r + 4)(r + -8) = 0 Reorder the terms: (4 + 7r)(r + -8) = 0 Reorder the terms: (4 + 7r)(-8 + r) = 0 Multiply (4 + 7r) * (-8 + r) (4(-8 + r) + 7r * (-8 + r)) = 0 ((-8 * 4 + r * 4) + 7r * (-8 + r)) = 0 ((-32 + 4r) + 7r * (-8 + r)) = 0 (-32 + 4r + (-8 * 7r + r * 7r)) = 0 (-32 + 4r + (-56r + 7r2)) = 0 Combine like terms: 4r + -56r = -52r (-32 + -52r + 7r2) = 0 Solving -32 + -52r + 7r2 = 0 Solving for variable 'r'. Factor a trinomial. (-4 + -7r)(8 + -1r) = 0Subproblem 1
Set the factor '(-4 + -7r)' equal to zero and attempt to solve: Simplifying -4 + -7r = 0 Solving -4 + -7r = 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 + -7r = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7r = 0 + 4 -7r = 0 + 4 Combine like terms: 0 + 4 = 4 -7r = 4 Divide each side by '-7'. r = -0.5714285714 Simplifying r = -0.5714285714Subproblem 2
Set the factor '(8 + -1r)' equal to zero and attempt to solve: Simplifying 8 + -1r = 0 Solving 8 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1r = 0 + -8 -1r = 0 + -8 Combine like terms: 0 + -8 = -8 -1r = -8 Divide each side by '-1'. r = 8 Simplifying r = 8Solution
r = {-0.5714285714, 8}
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