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Simplifying 40r2 + -35r + 24r + -21 = 0 Reorder the terms: -21 + -35r + 24r + 40r2 = 0 Combine like terms: -35r + 24r = -11r -21 + -11r + 40r2 = 0 Solving -21 + -11r + 40r2 = 0 Solving for variable 'r'. Factor a trinomial. (-3 + -5r)(7 + -8r) = 0Subproblem 1
Set the factor '(-3 + -5r)' equal to zero and attempt to solve: Simplifying -3 + -5r = 0 Solving -3 + -5r = 0 Move all terms containing r to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -5r = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5r = 0 + 3 -5r = 0 + 3 Combine like terms: 0 + 3 = 3 -5r = 3 Divide each side by '-5'. r = -0.6 Simplifying r = -0.6Subproblem 2
Set the factor '(7 + -8r)' equal to zero and attempt to solve: Simplifying 7 + -8r = 0 Solving 7 + -8r = 0 Move all terms containing r to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -8r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8r = 0 + -7 -8r = 0 + -7 Combine like terms: 0 + -7 = -7 -8r = -7 Divide each side by '-8'. r = 0.875 Simplifying r = 0.875Solution
r = {-0.6, 0.875}
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