56c^2+17cb-3b^2=

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Solution for 56c^2+17cb-3b^2= equation:


Simplifying
56c2 + 17cb + -3b2 = 0

Reorder the terms:
17bc + -3b2 + 56c2 = 0

Solving
17bc + -3b2 + 56c2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-3b + -7c)(b + -8c) = 0

Subproblem 1

Set the factor '(-3b + -7c)' equal to zero and attempt to solve: Simplifying -3b + -7c = 0 Solving -3b + -7c = 0 Move all terms containing b to the left, all other terms to the right. Add '7c' to each side of the equation. -3b + -7c + 7c = 0 + 7c Combine like terms: -7c + 7c = 0 -3b + 0 = 0 + 7c -3b = 0 + 7c Remove the zero: -3b = 7c Divide each side by '-3'. b = -2.333333333c Simplifying b = -2.333333333c

Subproblem 2

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

Solution

b = {-2.333333333c, 8c}

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