7c(b^2-a)-3d(b^2-a)+2f(b^2-a)=0

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Solution for 7c(b^2-a)-3d(b^2-a)+2f(b^2-a)=0 equation: 


Simplifying
7c(b2 + -1a) + -3d(b2 + -1a) + 2f(b2 + -1a) = 0

Reorder the terms:
7c(-1a + b2) + -3d(b2 + -1a) + 2f(b2 + -1a) = 0
(-1a * 7c + b2 * 7c) + -3d(b2 + -1a) + 2f(b2 + -1a) = 0
(-7ac + 7b2c) + -3d(b2 + -1a) + 2f(b2 + -1a) = 0

Reorder the terms:
-7ac + 7b2c + -3d(-1a + b2) + 2f(b2 + -1a) = 0
-7ac + 7b2c + (-1a * -3d + b2 * -3d) + 2f(b2 + -1a) = 0
-7ac + 7b2c + (3ad + -3b2d) + 2f(b2 + -1a) = 0

Reorder the terms:
-7ac + 7b2c + 3ad + -3b2d + 2f(-1a + b2) = 0
-7ac + 7b2c + 3ad + -3b2d + (-1a * 2f + b2 * 2f) = 0
-7ac + 7b2c + 3ad + -3b2d + (-2af + 2b2f) = 0

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

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

Solving for variable 'a'.

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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