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Simplifying 40r2 + -35r + 16r + -14 = 0 Reorder the terms: -14 + -35r + 16r + 40r2 = 0 Combine like terms: -35r + 16r = -19r -14 + -19r + 40r2 = 0 Solving -14 + -19r + 40r2 = 0 Solving for variable 'r'. Factor a trinomial. (-2 + -5r)(7 + -8r) = 0Subproblem 1
Set the factor '(-2 + -5r)' equal to zero and attempt to solve: Simplifying -2 + -5r = 0 Solving -2 + -5r = 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 + -5r = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5r = 0 + 2 -5r = 0 + 2 Combine like terms: 0 + 2 = 2 -5r = 2 Divide each side by '-5'. r = -0.4 Simplifying r = -0.4Subproblem 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 = {-0.4, 0.875}
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