y=(x+1)(x-3)-x(x+2)

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Solution for y=(x+1)(x-3)-x(x+2) equation: 


Simplifying
y = (x + 1)(x + -3) + -1x(x + 2)

Reorder the terms:
y = (1 + x)(x + -3) + -1x(x + 2)

Reorder the terms:
y = (1 + x)(-3 + x) + -1x(x + 2)

Multiply (1 + x) * (-3 + x)
y = (1(-3 + x) + x(-3 + x)) + -1x(x + 2)
y = ((-3 * 1 + x * 1) + x(-3 + x)) + -1x(x + 2)
y = ((-3 + 1x) + x(-3 + x)) + -1x(x + 2)
y = (-3 + 1x + (-3 * x + x * x)) + -1x(x + 2)
y = (-3 + 1x + (-3x + x2)) + -1x(x + 2)

Combine like terms: 1x + -3x = -2x
y = (-3 + -2x + x2) + -1x(x + 2)

Reorder the terms:
y = -3 + -2x + x2 + -1x(2 + x)
y = -3 + -2x + x2 + (2 * -1x + x * -1x)
y = -3 + -2x + x2 + (-2x + -1x2)

Reorder the terms:
y = -3 + -2x + -2x + x2 + -1x2

Combine like terms: -2x + -2x = -4x
y = -3 + -4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
y = -3 + -4x + 0
y = -3 + -4x

Solving
y = -3 + -4x

Solving for variable 'y'.

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

Simplifying
y = -3 + -4x

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