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

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


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

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

Reorder the terms:
-5a2c + 5bc + -7d(-1a2 + b) + 2f(b + -1a2) = 0
-5a2c + 5bc + (-1a2 * -7d + b * -7d) + 2f(b + -1a2) = 0
-5a2c + 5bc + (7a2d + -7bd) + 2f(b + -1a2) = 0

Reorder the terms:
-5a2c + 5bc + 7a2d + -7bd + 2f(-1a2 + b) = 0
-5a2c + 5bc + 7a2d + -7bd + (-1a2 * 2f + b * 2f) = 0
-5a2c + 5bc + 7a2d + -7bd + (-2a2f + 2bf) = 0

Reorder the terms:
-5a2c + 7a2d + -2a2f + 5bc + -7bd + 2bf = 0

Solving
-5a2c + 7a2d + -2a2f + 5bc + -7bd + 2bf = 0

Solving for variable 'a'.

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

Add '-5bc' to each side of the equation.
-5a2c + 7a2d + -2a2f + 5bc + -7bd + -5bc + 2bf = 0 + -5bc

Reorder the terms:
-5a2c + 7a2d + -2a2f + 5bc + -5bc + -7bd + 2bf = 0 + -5bc

Combine like terms: 5bc + -5bc = 0
-5a2c + 7a2d + -2a2f + 0 + -7bd + 2bf = 0 + -5bc
-5a2c + 7a2d + -2a2f + -7bd + 2bf = 0 + -5bc
Remove the zero:
-5a2c + 7a2d + -2a2f + -7bd + 2bf = -5bc

Add '7bd' to each side of the equation.
-5a2c + 7a2d + -2a2f + -7bd + 7bd + 2bf = -5bc + 7bd

Combine like terms: -7bd + 7bd = 0
-5a2c + 7a2d + -2a2f + 0 + 2bf = -5bc + 7bd
-5a2c + 7a2d + -2a2f + 2bf = -5bc + 7bd

Add '-2bf' to each side of the equation.
-5a2c + 7a2d + -2a2f + 2bf + -2bf = -5bc + 7bd + -2bf

Combine like terms: 2bf + -2bf = 0
-5a2c + 7a2d + -2a2f + 0 = -5bc + 7bd + -2bf
-5a2c + 7a2d + -2a2f = -5bc + 7bd + -2bf

Reorder the terms:
-5a2c + 7a2d + -2a2f + 5bc + -7bd + 2bf = -5bc + 5bc + 7bd + -7bd + -2bf + 2bf

Combine like terms: -5bc + 5bc = 0
-5a2c + 7a2d + -2a2f + 5bc + -7bd + 2bf = 0 + 7bd + -7bd + -2bf + 2bf
-5a2c + 7a2d + -2a2f + 5bc + -7bd + 2bf = 7bd + -7bd + -2bf + 2bf

Combine like terms: 7bd + -7bd = 0
-5a2c + 7a2d + -2a2f + 5bc + -7bd + 2bf = 0 + -2bf + 2bf
-5a2c + 7a2d + -2a2f + 5bc + -7bd + 2bf = -2bf + 2bf

Combine like terms: -2bf + 2bf = 0
-5a2c + 7a2d + -2a2f + 5bc + -7bd + 2bf = 0

The solution to this equation could not be determined.

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