3c(a-b^2)-7d(a-b^2)+2f(a-b^2)=

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Solution for 3c(a-b^2)-7d(a-b^2)+2f(a-b^2)= equation: 


Simplifying
3c(a + -1b2) + -7d(a + -1b2) + 2f(a + -1b2) = 0
(a * 3c + -1b2 * 3c) + -7d(a + -1b2) + 2f(a + -1b2) = 0
(3ac + -3b2c) + -7d(a + -1b2) + 2f(a + -1b2) = 0
3ac + -3b2c + (a * -7d + -1b2 * -7d) + 2f(a + -1b2) = 0
3ac + -3b2c + (-7ad + 7b2d) + 2f(a + -1b2) = 0
3ac + -3b2c + -7ad + 7b2d + (a * 2f + -1b2 * 2f) = 0
3ac + -3b2c + -7ad + 7b2d + (2af + -2b2f) = 0

Reorder the terms:
3ac + -7ad + 2af + -3b2c + 7b2d + -2b2f = 0

Solving
3ac + -7ad + 2af + -3b2c + 7b2d + -2b2f = 0

Solving for variable 'a'.

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

Add '3b2c' to each side of the equation.
3ac + -7ad + 2af + -3b2c + 7b2d + 3b2c + -2b2f = 0 + 3b2c

Reorder the terms:
3ac + -7ad + 2af + -3b2c + 3b2c + 7b2d + -2b2f = 0 + 3b2c

Combine like terms: -3b2c + 3b2c = 0
3ac + -7ad + 2af + 0 + 7b2d + -2b2f = 0 + 3b2c
3ac + -7ad + 2af + 7b2d + -2b2f = 0 + 3b2c
Remove the zero:
3ac + -7ad + 2af + 7b2d + -2b2f = 3b2c

Add '-7b2d' to each side of the equation.
3ac + -7ad + 2af + 7b2d + -7b2d + -2b2f = 3b2c + -7b2d

Combine like terms: 7b2d + -7b2d = 0
3ac + -7ad + 2af + 0 + -2b2f = 3b2c + -7b2d
3ac + -7ad + 2af + -2b2f = 3b2c + -7b2d

Add '2b2f' to each side of the equation.
3ac + -7ad + 2af + -2b2f + 2b2f = 3b2c + -7b2d + 2b2f

Combine like terms: -2b2f + 2b2f = 0
3ac + -7ad + 2af + 0 = 3b2c + -7b2d + 2b2f
3ac + -7ad + 2af = 3b2c + -7b2d + 2b2f

Reorder the terms:
3ac + -7ad + 2af + -3b2c + 7b2d + -2b2f = 3b2c + -3b2c + -7b2d + 7b2d + 2b2f + -2b2f

Combine like terms: 3b2c + -3b2c = 0
3ac + -7ad + 2af + -3b2c + 7b2d + -2b2f = 0 + -7b2d + 7b2d + 2b2f + -2b2f
3ac + -7ad + 2af + -3b2c + 7b2d + -2b2f = -7b2d + 7b2d + 2b2f + -2b2f

Combine like terms: -7b2d + 7b2d = 0
3ac + -7ad + 2af + -3b2c + 7b2d + -2b2f = 0 + 2b2f + -2b2f
3ac + -7ad + 2af + -3b2c + 7b2d + -2b2f = 2b2f + -2b2f

Combine like terms: 2b2f + -2b2f = 0
3ac + -7ad + 2af + -3b2c + 7b2d + -2b2f = 0

The solution to this equation could not be determined.

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