Y=(2x-3)(3x-4)-(x-13)(x-4)-40

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Solution for Y=(2x-3)(3x-4)-(x-13)(x-4)-40 equation: 


Simplifying
Y = (2x + -3)(3x + -4) + -1(x + -13)(x + -4) + -40

Reorder the terms:
Y = (-3 + 2x)(3x + -4) + -1(x + -13)(x + -4) + -40

Reorder the terms:
Y = (-3 + 2x)(-4 + 3x) + -1(x + -13)(x + -4) + -40

Multiply (-3 + 2x) * (-4 + 3x)
Y = (-3(-4 + 3x) + 2x * (-4 + 3x)) + -1(x + -13)(x + -4) + -40
Y = ((-4 * -3 + 3x * -3) + 2x * (-4 + 3x)) + -1(x + -13)(x + -4) + -40
Y = ((12 + -9x) + 2x * (-4 + 3x)) + -1(x + -13)(x + -4) + -40
Y = (12 + -9x + (-4 * 2x + 3x * 2x)) + -1(x + -13)(x + -4) + -40
Y = (12 + -9x + (-8x + 6x2)) + -1(x + -13)(x + -4) + -40

Combine like terms: -9x + -8x = -17x
Y = (12 + -17x + 6x2) + -1(x + -13)(x + -4) + -40

Reorder the terms:
Y = 12 + -17x + 6x2 + -1(-13 + x)(x + -4) + -40

Reorder the terms:
Y = 12 + -17x + 6x2 + -1(-13 + x)(-4 + x) + -40

Multiply (-13 + x) * (-4 + x)
Y = 12 + -17x + 6x2 + -1(-13(-4 + x) + x(-4 + x)) + -40
Y = 12 + -17x + 6x2 + -1((-4 * -13 + x * -13) + x(-4 + x)) + -40
Y = 12 + -17x + 6x2 + -1((52 + -13x) + x(-4 + x)) + -40
Y = 12 + -17x + 6x2 + -1(52 + -13x + (-4 * x + x * x)) + -40
Y = 12 + -17x + 6x2 + -1(52 + -13x + (-4x + x2)) + -40

Combine like terms: -13x + -4x = -17x
Y = 12 + -17x + 6x2 + -1(52 + -17x + x2) + -40
Y = 12 + -17x + 6x2 + (52 * -1 + -17x * -1 + x2 * -1) + -40
Y = 12 + -17x + 6x2 + (-52 + 17x + -1x2) + -40

Reorder the terms:
Y = 12 + -52 + -40 + -17x + 17x + 6x2 + -1x2

Combine like terms: 12 + -52 = -40
Y = -40 + -40 + -17x + 17x + 6x2 + -1x2

Combine like terms: -40 + -40 = -80
Y = -80 + -17x + 17x + 6x2 + -1x2

Combine like terms: -17x + 17x = 0
Y = -80 + 0 + 6x2 + -1x2
Y = -80 + 6x2 + -1x2

Combine like terms: 6x2 + -1x2 = 5x2
Y = -80 + 5x2

Solving
Y = -80 + 5x2

Solving for variable 'Y'.

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

Simplifying
Y = -80 + 5x2

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