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Simplifying 56r2 + 23rc + -63c2 = 0 Reorder the terms: 23cr + -63c2 + 56r2 = 0 Solving 23cr + -63c2 + 56r2 = 0 Solving for variable 'c'. Factor a trinomial. (-9c + -7r)(7c + -8r) = 0Subproblem 1
Set the factor '(-9c + -7r)' equal to zero and attempt to solve: Simplifying -9c + -7r = 0 Solving -9c + -7r = 0 Move all terms containing c to the left, all other terms to the right. Add '7r' to each side of the equation. -9c + -7r + 7r = 0 + 7r Combine like terms: -7r + 7r = 0 -9c + 0 = 0 + 7r -9c = 0 + 7r Remove the zero: -9c = 7r Divide each side by '-9'. c = -0.7777777778r Simplifying c = -0.7777777778rSubproblem 2
Set the factor '(7c + -8r)' equal to zero and attempt to solve: Simplifying 7c + -8r = 0 Solving 7c + -8r = 0 Move all terms containing c to the left, all other terms to the right. Add '8r' to each side of the equation. 7c + -8r + 8r = 0 + 8r Combine like terms: -8r + 8r = 0 7c + 0 = 0 + 8r 7c = 0 + 8r Remove the zero: 7c = 8r Divide each side by '7'. c = 1.142857143r Simplifying c = 1.142857143rSolution
c = {-0.7777777778r, 1.142857143r}
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