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

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


Simplifying
ax2 + 3x + -1b = 4x2 + (4 + -1c) * x + -1(2 + a)

Reorder the terms:
ax2 + -1b + 3x = 4x2 + (4 + -1c) * x + -1(2 + a)

Reorder the terms for easier multiplication:
ax2 + -1b + 3x = 4x2 + x(4 + -1c) + -1(2 + a)
ax2 + -1b + 3x = 4x2 + (4 * x + -1c * x) + -1(2 + a)

Reorder the terms:
ax2 + -1b + 3x = 4x2 + (-1cx + 4x) + -1(2 + a)
ax2 + -1b + 3x = 4x2 + (-1cx + 4x) + -1(2 + a)
ax2 + -1b + 3x = 4x2 + -1cx + 4x + (2 * -1 + a * -1)
ax2 + -1b + 3x = 4x2 + -1cx + 4x + (-2 + -1a)

Reorder the terms:
ax2 + -1b + 3x = -2 + -1a + -1cx + 4x + 4x2

Solving
ax2 + -1b + 3x = -2 + -1a + -1cx + 4x + 4x2

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
ax2 + -1b + a + 3x = -2 + -1a + -1cx + 4x + a + 4x2

Reorder the terms:
a + ax2 + -1b + 3x = -2 + -1a + -1cx + 4x + a + 4x2

Reorder the terms:
a + ax2 + -1b + 3x = -2 + -1a + a + -1cx + 4x + 4x2

Combine like terms: -1a + a = 0
a + ax2 + -1b + 3x = -2 + 0 + -1cx + 4x + 4x2
a + ax2 + -1b + 3x = -2 + -1cx + 4x + 4x2

Add 'b' to each side of the equation.
a + ax2 + -1b + b + 3x = -2 + -1cx + 4x + b + 4x2

Combine like terms: -1b + b = 0
a + ax2 + 0 + 3x = -2 + -1cx + 4x + b + 4x2
a + ax2 + 3x = -2 + -1cx + 4x + b + 4x2

Reorder the terms:
a + ax2 + 3x = -2 + b + -1cx + 4x + 4x2

Add '-3x' to each side of the equation.
a + ax2 + 3x + -3x = -2 + b + -1cx + 4x + -3x + 4x2

Combine like terms: 3x + -3x = 0
a + ax2 + 0 = -2 + b + -1cx + 4x + -3x + 4x2
a + ax2 = -2 + b + -1cx + 4x + -3x + 4x2

Combine like terms: 4x + -3x = 1x
a + ax2 = -2 + b + -1cx + 1x + 4x2

Reorder the terms:
2 + a + ax2 + -1b + cx + -1x + -4x2 = -2 + b + -1cx + 1x + 4x2 + 2 + -1b + cx + -1x + -4x2

Reorder the terms:
2 + a + ax2 + -1b + cx + -1x + -4x2 = -2 + 2 + b + -1b + -1cx + cx + 1x + -1x + 4x2 + -4x2

Combine like terms: -2 + 2 = 0
2 + a + ax2 + -1b + cx + -1x + -4x2 = 0 + b + -1b + -1cx + cx + 1x + -1x + 4x2 + -4x2
2 + a + ax2 + -1b + cx + -1x + -4x2 = b + -1b + -1cx + cx + 1x + -1x + 4x2 + -4x2

Combine like terms: b + -1b = 0
2 + a + ax2 + -1b + cx + -1x + -4x2 = 0 + -1cx + cx + 1x + -1x + 4x2 + -4x2
2 + a + ax2 + -1b + cx + -1x + -4x2 = -1cx + cx + 1x + -1x + 4x2 + -4x2

Combine like terms: -1cx + cx = 0
2 + a + ax2 + -1b + cx + -1x + -4x2 = 0 + 1x + -1x + 4x2 + -4x2
2 + a + ax2 + -1b + cx + -1x + -4x2 = 1x + -1x + 4x2 + -4x2

Combine like terms: 1x + -1x = 0
2 + a + ax2 + -1b + cx + -1x + -4x2 = 0 + 4x2 + -4x2
2 + a + ax2 + -1b + cx + -1x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
2 + a + ax2 + -1b + cx + -1x + -4x2 = 0

The solution to this equation could not be determined.

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