56w^2+23wb-63b^2=

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Solution for 56w^2+23wb-63b^2= equation:


Simplifying
56w2 + 23wb + -63b2 = 0

Reorder the terms:
23bw + -63b2 + 56w2 = 0

Solving
23bw + -63b2 + 56w2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-9b + -7w)(7b + -8w) = 0

Subproblem 1

Set the factor '(-9b + -7w)' equal to zero and attempt to solve: Simplifying -9b + -7w = 0 Solving -9b + -7w = 0 Move all terms containing b to the left, all other terms to the right. Add '7w' to each side of the equation. -9b + -7w + 7w = 0 + 7w Combine like terms: -7w + 7w = 0 -9b + 0 = 0 + 7w -9b = 0 + 7w Remove the zero: -9b = 7w Divide each side by '-9'. b = -0.7777777778w Simplifying b = -0.7777777778w

Subproblem 2

Set the factor '(7b + -8w)' equal to zero and attempt to solve: Simplifying 7b + -8w = 0 Solving 7b + -8w = 0 Move all terms containing b to the left, all other terms to the right. Add '8w' to each side of the equation. 7b + -8w + 8w = 0 + 8w Combine like terms: -8w + 8w = 0 7b + 0 = 0 + 8w 7b = 0 + 8w Remove the zero: 7b = 8w Divide each side by '7'. b = 1.142857143w Simplifying b = 1.142857143w

Solution

b = {-0.7777777778w, 1.142857143w}

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