30c^2-19cr-63r^2=

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Solution for 30c^2-19cr-63r^2= equation:


Simplifying
30c2 + -19cr + -63r2 = 0

Reorder the terms:
-19cr + 30c2 + -63r2 = 0

Solving
-19cr + 30c2 + -63r2 = 0

Solving for variable 'c'.

Factor a trinomial.
(5c + -9r)(6c + 7r) = 0

Subproblem 1

Set the factor '(5c + -9r)' equal to zero and attempt to solve: Simplifying 5c + -9r = 0 Solving 5c + -9r = 0 Move all terms containing c to the left, all other terms to the right. Add '9r' to each side of the equation. 5c + -9r + 9r = 0 + 9r Combine like terms: -9r + 9r = 0 5c + 0 = 0 + 9r 5c = 0 + 9r Remove the zero: 5c = 9r Divide each side by '5'. c = 1.8r Simplifying c = 1.8r

Subproblem 2

Set the factor '(6c + 7r)' equal to zero and attempt to solve: Simplifying 6c + 7r = 0 Solving 6c + 7r = 0 Move all terms containing c to the left, all other terms to the right. Add '-7r' to each side of the equation. 6c + 7r + -7r = 0 + -7r Combine like terms: 7r + -7r = 0 6c + 0 = 0 + -7r 6c = 0 + -7r Remove the zero: 6c = -7r Divide each side by '6'. c = -1.166666667r Simplifying c = -1.166666667r

Solution

c = {1.8r, -1.166666667r}

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