f=(3x-4)(5x-3y+7)

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Solution for f=(3x-4)(5x-3y+7) equation: 


Simplifying
f = (3x + -4)(5x + -3y + 7)

Reorder the terms:
f = (-4 + 3x)(5x + -3y + 7)

Reorder the terms:
f = (-4 + 3x)(7 + 5x + -3y)

Multiply (-4 + 3x) * (7 + 5x + -3y)
f = (-4(7 + 5x + -3y) + 3x * (7 + 5x + -3y))
f = ((7 * -4 + 5x * -4 + -3y * -4) + 3x * (7 + 5x + -3y))
f = ((-28 + -20x + 12y) + 3x * (7 + 5x + -3y))
f = (-28 + -20x + 12y + (7 * 3x + 5x * 3x + -3y * 3x))

Reorder the terms:
f = (-28 + -20x + 12y + (21x + -9xy + 15x2))
f = (-28 + -20x + 12y + (21x + -9xy + 15x2))

Reorder the terms:
f = (-28 + -20x + 21x + -9xy + 15x2 + 12y)

Combine like terms: -20x + 21x = 1x
f = (-28 + 1x + -9xy + 15x2 + 12y)

Solving
f = -28 + 1x + -9xy + 15x2 + 12y

Solving for variable 'f'.

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

Simplifying
f = -28 + 1x + -9xy + 15x2 + 12y

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