56c^2d-23cd-63d=0

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Solution for 56c^2d-23cd-63d=0 equation:


Simplifying
56c2d + -23cd + -63d = 0

Reorder the terms:
-23cd + 56c2d + -63d = 0

Solving
-23cd + 56c2d + -63d = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), 'd'.
d(-23c + 56c2 + -63) = 0

Factor a trinomial.
d((7c + -9)(8c + 7)) = 0

Subproblem 1

Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing c to the left, all other terms to the right. Add '-1d' to each side of the equation. d + -1d = 0 + -1d Remove the zero: 0 = -1d Simplifying 0 = -1d The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(7c + -9)' equal to zero and attempt to solve: Simplifying 7c + -9 = 0 Reorder the terms: -9 + 7c = 0 Solving -9 + 7c = 0 Move all terms containing c to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 7c = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 7c = 0 + 9 7c = 0 + 9 Combine like terms: 0 + 9 = 9 7c = 9 Divide each side by '7'. c = 1.285714286 Simplifying c = 1.285714286

Subproblem 3

Set the factor '(8c + 7)' equal to zero and attempt to solve: Simplifying 8c + 7 = 0 Reorder the terms: 7 + 8c = 0 Solving 7 + 8c = 0 Move all terms containing c to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 8c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8c = 0 + -7 8c = 0 + -7 Combine like terms: 0 + -7 = -7 8c = -7 Divide each side by '8'. c = -0.875 Simplifying c = -0.875

Solution

c = {1.285714286, -0.875}

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