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Simplifying 2c2 + 7cr + -15r2 = 0 Reorder the terms: 7cr + 2c2 + -15r2 = 0 Solving 7cr + 2c2 + -15r2 = 0 Solving for variable 'c'. Factor a trinomial. (2c + -3r)(c + 5r) = 0Subproblem 1
Set the factor '(2c + -3r)' equal to zero and attempt to solve: Simplifying 2c + -3r = 0 Solving 2c + -3r = 0 Move all terms containing c to the left, all other terms to the right. Add '3r' to each side of the equation. 2c + -3r + 3r = 0 + 3r Combine like terms: -3r + 3r = 0 2c + 0 = 0 + 3r 2c = 0 + 3r Remove the zero: 2c = 3r Divide each side by '2'. c = 1.5r Simplifying c = 1.5rSubproblem 2
Set the factor '(c + 5r)' equal to zero and attempt to solve: Simplifying c + 5r = 0 Solving c + 5r = 0 Move all terms containing c to the left, all other terms to the right. Add '-5r' to each side of the equation. c + 5r + -5r = 0 + -5r Combine like terms: 5r + -5r = 0 c + 0 = 0 + -5r c = 0 + -5r Remove the zero: c = -5r Simplifying c = -5rSolution
c = {1.5r, -5r}
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