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Simplifying (7r + -4)(r + -4) = 0 Reorder the terms: (-4 + 7r)(r + -4) = 0 Reorder the terms: (-4 + 7r)(-4 + r) = 0 Multiply (-4 + 7r) * (-4 + r) (-4(-4 + r) + 7r * (-4 + r)) = 0 ((-4 * -4 + r * -4) + 7r * (-4 + r)) = 0 ((16 + -4r) + 7r * (-4 + r)) = 0 (16 + -4r + (-4 * 7r + r * 7r)) = 0 (16 + -4r + (-28r + 7r2)) = 0 Combine like terms: -4r + -28r = -32r (16 + -32r + 7r2) = 0 Solving 16 + -32r + 7r2 = 0 Solving for variable 'r'. Factor a trinomial. (4 + -7r)(4 + -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 '(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 = 4Solution
r = {0.5714285714, 4}
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