2b+3(2bx+a)+2(bx^2+ax+c)=4x^2

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Solution for 2b+3(2bx+a)+2(bx^2+ax+c)=4x^2 equation: 


Simplifying
2b + 3(2bx + a) + 2(bx2 + ax + c) = 4x2

Reorder the terms:
2b + 3(a + 2bx) + 2(bx2 + ax + c) = 4x2
2b + (a * 3 + 2bx * 3) + 2(bx2 + ax + c) = 4x2
2b + (3a + 6bx) + 2(bx2 + ax + c) = 4x2

Reorder the terms:
2b + 3a + 6bx + 2(ax + bx2 + c) = 4x2
2b + 3a + 6bx + (ax * 2 + bx2 * 2 + c * 2) = 4x2
2b + 3a + 6bx + (2ax + 2bx2 + 2c) = 4x2

Reorder the terms:
3a + 2ax + 2b + 6bx + 2bx2 + 2c = 4x2

Solving
3a + 2ax + 2b + 6bx + 2bx2 + 2c = 4x2

Solving for variable 'a'.

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

Add '-2b' to each side of the equation.
3a + 2ax + 2b + 6bx + 2bx2 + -2b + 2c = -2b + 4x2

Reorder the terms:
3a + 2ax + 2b + -2b + 6bx + 2bx2 + 2c = -2b + 4x2

Combine like terms: 2b + -2b = 0
3a + 2ax + 0 + 6bx + 2bx2 + 2c = -2b + 4x2
3a + 2ax + 6bx + 2bx2 + 2c = -2b + 4x2

Add '-6bx' to each side of the equation.
3a + 2ax + 6bx + 2bx2 + -6bx + 2c = -2b + -6bx + 4x2

Reorder the terms:
3a + 2ax + 6bx + -6bx + 2bx2 + 2c = -2b + -6bx + 4x2

Combine like terms: 6bx + -6bx = 0
3a + 2ax + 0 + 2bx2 + 2c = -2b + -6bx + 4x2
3a + 2ax + 2bx2 + 2c = -2b + -6bx + 4x2

Add '-2bx2' to each side of the equation.
3a + 2ax + 2bx2 + -2bx2 + 2c = -2b + -6bx + -2bx2 + 4x2

Combine like terms: 2bx2 + -2bx2 = 0
3a + 2ax + 0 + 2c = -2b + -6bx + -2bx2 + 4x2
3a + 2ax + 2c = -2b + -6bx + -2bx2 + 4x2

Add '-2c' to each side of the equation.
3a + 2ax + 2c + -2c = -2b + -6bx + -2bx2 + -2c + 4x2

Combine like terms: 2c + -2c = 0
3a + 2ax + 0 = -2b + -6bx + -2bx2 + -2c + 4x2
3a + 2ax = -2b + -6bx + -2bx2 + -2c + 4x2

Reorder the terms:
3a + 2ax + 2b + 6bx + 2bx2 + 2c + -4x2 = -2b + 2b + -6bx + 6bx + -2bx2 + 2bx2 + -2c + 2c + 4x2 + -4x2

Combine like terms: -2b + 2b = 0
3a + 2ax + 2b + 6bx + 2bx2 + 2c + -4x2 = 0 + -6bx + 6bx + -2bx2 + 2bx2 + -2c + 2c + 4x2 + -4x2
3a + 2ax + 2b + 6bx + 2bx2 + 2c + -4x2 = -6bx + 6bx + -2bx2 + 2bx2 + -2c + 2c + 4x2 + -4x2

Combine like terms: -6bx + 6bx = 0
3a + 2ax + 2b + 6bx + 2bx2 + 2c + -4x2 = 0 + -2bx2 + 2bx2 + -2c + 2c + 4x2 + -4x2
3a + 2ax + 2b + 6bx + 2bx2 + 2c + -4x2 = -2bx2 + 2bx2 + -2c + 2c + 4x2 + -4x2

Combine like terms: -2bx2 + 2bx2 = 0
3a + 2ax + 2b + 6bx + 2bx2 + 2c + -4x2 = 0 + -2c + 2c + 4x2 + -4x2
3a + 2ax + 2b + 6bx + 2bx2 + 2c + -4x2 = -2c + 2c + 4x2 + -4x2

Combine like terms: -2c + 2c = 0
3a + 2ax + 2b + 6bx + 2bx2 + 2c + -4x2 = 0 + 4x2 + -4x2
3a + 2ax + 2b + 6bx + 2bx2 + 2c + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
3a + 2ax + 2b + 6bx + 2bx2 + 2c + -4x2 = 0

The solution to this equation could not be determined.

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