7c(b-a^2)-5(b-a^2)+2f(b-a^2)=0

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Solution for 7c(b-a^2)-5(b-a^2)+2f(b-a^2)=0 equation: 


Simplifying
7c(b + -1a2) + -5(b + -1a2) + 2f(b + -1a2) = 0

Reorder the terms:
7c(-1a2 + b) + -5(b + -1a2) + 2f(b + -1a2) = 0
(-1a2 * 7c + b * 7c) + -5(b + -1a2) + 2f(b + -1a2) = 0
(-7a2c + 7bc) + -5(b + -1a2) + 2f(b + -1a2) = 0

Reorder the terms:
-7a2c + 7bc + -5(-1a2 + b) + 2f(b + -1a2) = 0
-7a2c + 7bc + (-1a2 * -5 + b * -5) + 2f(b + -1a2) = 0
-7a2c + 7bc + (5a2 + -5b) + 2f(b + -1a2) = 0

Reorder the terms:
-7a2c + 7bc + 5a2 + -5b + 2f(-1a2 + b) = 0
-7a2c + 7bc + 5a2 + -5b + (-1a2 * 2f + b * 2f) = 0
-7a2c + 7bc + 5a2 + -5b + (-2a2f + 2bf) = 0

Reorder the terms:
5a2 + -7a2c + -2a2f + -5b + 7bc + 2bf = 0

Solving
5a2 + -7a2c + -2a2f + -5b + 7bc + 2bf = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '5b' to each side of the equation.
5a2 + -7a2c + -2a2f + -5b + 7bc + 5b + 2bf = 0 + 5b

Reorder the terms:
5a2 + -7a2c + -2a2f + -5b + 5b + 7bc + 2bf = 0 + 5b

Combine like terms: -5b + 5b = 0
5a2 + -7a2c + -2a2f + 0 + 7bc + 2bf = 0 + 5b
5a2 + -7a2c + -2a2f + 7bc + 2bf = 0 + 5b
Remove the zero:
5a2 + -7a2c + -2a2f + 7bc + 2bf = 5b

Add '-7bc' to each side of the equation.
5a2 + -7a2c + -2a2f + 7bc + -7bc + 2bf = 5b + -7bc

Combine like terms: 7bc + -7bc = 0
5a2 + -7a2c + -2a2f + 0 + 2bf = 5b + -7bc
5a2 + -7a2c + -2a2f + 2bf = 5b + -7bc

Add '-2bf' to each side of the equation.
5a2 + -7a2c + -2a2f + 2bf + -2bf = 5b + -7bc + -2bf

Combine like terms: 2bf + -2bf = 0
5a2 + -7a2c + -2a2f + 0 = 5b + -7bc + -2bf
5a2 + -7a2c + -2a2f = 5b + -7bc + -2bf

Reorder the terms:
5a2 + -7a2c + -2a2f + -5b + 7bc + 2bf = 5b + -5b + -7bc + 7bc + -2bf + 2bf

Combine like terms: 5b + -5b = 0
5a2 + -7a2c + -2a2f + -5b + 7bc + 2bf = 0 + -7bc + 7bc + -2bf + 2bf
5a2 + -7a2c + -2a2f + -5b + 7bc + 2bf = -7bc + 7bc + -2bf + 2bf

Combine like terms: -7bc + 7bc = 0
5a2 + -7a2c + -2a2f + -5b + 7bc + 2bf = 0 + -2bf + 2bf
5a2 + -7a2c + -2a2f + -5b + 7bc + 2bf = -2bf + 2bf

Combine like terms: -2bf + 2bf = 0
5a2 + -7a2c + -2a2f + -5b + 7bc + 2bf = 0

The solution to this equation could not be determined.

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