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

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


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

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

Multiply (-1 + 3x) * (2 + -5x)
c = (-1(2 + -5x) + 3x * (2 + -5x)) + (3x + 4) * x
c = ((2 * -1 + -5x * -1) + 3x * (2 + -5x)) + (3x + 4) * x
c = ((-2 + 5x) + 3x * (2 + -5x)) + (3x + 4) * x
c = (-2 + 5x + (2 * 3x + -5x * 3x)) + (3x + 4) * x
c = (-2 + 5x + (6x + -15x2)) + (3x + 4) * x

Combine like terms: 5x + 6x = 11x
c = (-2 + 11x + -15x2) + (3x + 4) * x

Reorder the terms:
c = -2 + 11x + -15x2 + (4 + 3x) * x

Reorder the terms for easier multiplication:
c = -2 + 11x + -15x2 + x(4 + 3x)
c = -2 + 11x + -15x2 + (4 * x + 3x * x)
c = -2 + 11x + -15x2 + (4x + 3x2)

Reorder the terms:
c = -2 + 11x + 4x + -15x2 + 3x2

Combine like terms: 11x + 4x = 15x
c = -2 + 15x + -15x2 + 3x2

Combine like terms: -15x2 + 3x2 = -12x2
c = -2 + 15x + -12x2

Solving
c = -2 + 15x + -12x2

Solving for variable 'c'.

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

Simplifying
c = -2 + 15x + -12x2

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