C=(4x-5)(1-2x)-(-4x+3)(x+2)

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Solution for C=(4x-5)(1-2x)-(-4x+3)(x+2) equation: 


Simplifying
C = (4x + -5)(1 + -2x) + -1(-4x + 3)(x + 2)

Reorder the terms:
C = (-5 + 4x)(1 + -2x) + -1(-4x + 3)(x + 2)

Multiply (-5 + 4x) * (1 + -2x)
C = (-5(1 + -2x) + 4x * (1 + -2x)) + -1(-4x + 3)(x + 2)
C = ((1 * -5 + -2x * -5) + 4x * (1 + -2x)) + -1(-4x + 3)(x + 2)
C = ((-5 + 10x) + 4x * (1 + -2x)) + -1(-4x + 3)(x + 2)
C = (-5 + 10x + (1 * 4x + -2x * 4x)) + -1(-4x + 3)(x + 2)
C = (-5 + 10x + (4x + -8x2)) + -1(-4x + 3)(x + 2)

Combine like terms: 10x + 4x = 14x
C = (-5 + 14x + -8x2) + -1(-4x + 3)(x + 2)

Reorder the terms:
C = -5 + 14x + -8x2 + -1(3 + -4x)(x + 2)

Reorder the terms:
C = -5 + 14x + -8x2 + -1(3 + -4x)(2 + x)

Multiply (3 + -4x) * (2 + x)
C = -5 + 14x + -8x2 + -1(3(2 + x) + -4x * (2 + x))
C = -5 + 14x + -8x2 + -1((2 * 3 + x * 3) + -4x * (2 + x))
C = -5 + 14x + -8x2 + -1((6 + 3x) + -4x * (2 + x))
C = -5 + 14x + -8x2 + -1(6 + 3x + (2 * -4x + x * -4x))
C = -5 + 14x + -8x2 + -1(6 + 3x + (-8x + -4x2))

Combine like terms: 3x + -8x = -5x
C = -5 + 14x + -8x2 + -1(6 + -5x + -4x2)
C = -5 + 14x + -8x2 + (6 * -1 + -5x * -1 + -4x2 * -1)
C = -5 + 14x + -8x2 + (-6 + 5x + 4x2)

Reorder the terms:
C = -5 + -6 + 14x + 5x + -8x2 + 4x2

Combine like terms: -5 + -6 = -11
C = -11 + 14x + 5x + -8x2 + 4x2

Combine like terms: 14x + 5x = 19x
C = -11 + 19x + -8x2 + 4x2

Combine like terms: -8x2 + 4x2 = -4x2
C = -11 + 19x + -4x2

Solving
C = -11 + 19x + -4x2

Solving for variable 'C'.

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

Simplifying
C = -11 + 19x + -4x2

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