y=(x+3)(x-6)(x-7)

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Solution for y=(x+3)(x-6)(x-7) equation:


Simplifying
y = (x + 3)(x + -6)(x + -7)

Reorder the terms:
y = (3 + x)(x + -6)(x + -7)

Reorder the terms:
y = (3 + x)(-6 + x)(x + -7)

Reorder the terms:
y = (3 + x)(-6 + x)(-7 + x)

Multiply (3 + x) * (-6 + x)
y = (3(-6 + x) + x(-6 + x))(-7 + x)
y = ((-6 * 3 + x * 3) + x(-6 + x))(-7 + x)
y = ((-18 + 3x) + x(-6 + x))(-7 + x)
y = (-18 + 3x + (-6 * x + x * x))(-7 + x)
y = (-18 + 3x + (-6x + x2))(-7 + x)

Combine like terms: 3x + -6x = -3x
y = (-18 + -3x + x2)(-7 + x)

Multiply (-18 + -3x + x2) * (-7 + x)
y = (-18(-7 + x) + -3x * (-7 + x) + x2(-7 + x))
y = ((-7 * -18 + x * -18) + -3x * (-7 + x) + x2(-7 + x))
y = ((126 + -18x) + -3x * (-7 + x) + x2(-7 + x))
y = (126 + -18x + (-7 * -3x + x * -3x) + x2(-7 + x))
y = (126 + -18x + (21x + -3x2) + x2(-7 + x))
y = (126 + -18x + 21x + -3x2 + (-7 * x2 + x * x2))
y = (126 + -18x + 21x + -3x2 + (-7x2 + x3))

Combine like terms: -18x + 21x = 3x
y = (126 + 3x + -3x2 + -7x2 + x3)

Combine like terms: -3x2 + -7x2 = -10x2
y = (126 + 3x + -10x2 + x3)

Solving
y = 126 + 3x + -10x2 + x3

Solving for variable 'y'.

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

Simplifying
y = 126 + 3x + -10x2 + x3

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