y=(x+7)(5x+2)(x-6)(x-6)

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Solution for y=(x+7)(5x+2)(x-6)(x-6) equation: 


Simplifying
y = (x + 7)(5x + 2)(x + -6)(x + -6)

Reorder the terms:
y = (7 + x)(5x + 2)(x + -6)(x + -6)

Reorder the terms:
y = (7 + x)(2 + 5x)(x + -6)(x + -6)

Reorder the terms:
y = (7 + x)(2 + 5x)(-6 + x)(x + -6)

Reorder the terms:
y = (7 + x)(2 + 5x)(-6 + x)(-6 + x)

Multiply (7 + x) * (2 + 5x)
y = (7(2 + 5x) + x(2 + 5x))(-6 + x)(-6 + x)
y = ((2 * 7 + 5x * 7) + x(2 + 5x))(-6 + x)(-6 + x)
y = ((14 + 35x) + x(2 + 5x))(-6 + x)(-6 + x)
y = (14 + 35x + (2 * x + 5x * x))(-6 + x)(-6 + x)
y = (14 + 35x + (2x + 5x2))(-6 + x)(-6 + x)

Combine like terms: 35x + 2x = 37x
y = (14 + 37x + 5x2)(-6 + x)(-6 + x)

Multiply (14 + 37x + 5x2) * (-6 + x)
y = (14(-6 + x) + 37x * (-6 + x) + 5x2 * (-6 + x))(-6 + x)
y = ((-6 * 14 + x * 14) + 37x * (-6 + x) + 5x2 * (-6 + x))(-6 + x)
y = ((-84 + 14x) + 37x * (-6 + x) + 5x2 * (-6 + x))(-6 + x)
y = (-84 + 14x + (-6 * 37x + x * 37x) + 5x2 * (-6 + x))(-6 + x)
y = (-84 + 14x + (-222x + 37x2) + 5x2 * (-6 + x))(-6 + x)
y = (-84 + 14x + -222x + 37x2 + (-6 * 5x2 + x * 5x2))(-6 + x)
y = (-84 + 14x + -222x + 37x2 + (-30x2 + 5x3))(-6 + x)

Combine like terms: 14x + -222x = -208x
y = (-84 + -208x + 37x2 + -30x2 + 5x3)(-6 + x)

Combine like terms: 37x2 + -30x2 = 7x2
y = (-84 + -208x + 7x2 + 5x3)(-6 + x)

Multiply (-84 + -208x + 7x2 + 5x3) * (-6 + x)
y = (-84(-6 + x) + -208x * (-6 + x) + 7x2 * (-6 + x) + 5x3 * (-6 + x))
y = ((-6 * -84 + x * -84) + -208x * (-6 + x) + 7x2 * (-6 + x) + 5x3 * (-6 + x))
y = ((504 + -84x) + -208x * (-6 + x) + 7x2 * (-6 + x) + 5x3 * (-6 + x))
y = (504 + -84x + (-6 * -208x + x * -208x) + 7x2 * (-6 + x) + 5x3 * (-6 + x))
y = (504 + -84x + (1248x + -208x2) + 7x2 * (-6 + x) + 5x3 * (-6 + x))
y = (504 + -84x + 1248x + -208x2 + (-6 * 7x2 + x * 7x2) + 5x3 * (-6 + x))
y = (504 + -84x + 1248x + -208x2 + (-42x2 + 7x3) + 5x3 * (-6 + x))
y = (504 + -84x + 1248x + -208x2 + -42x2 + 7x3 + (-6 * 5x3 + x * 5x3))
y = (504 + -84x + 1248x + -208x2 + -42x2 + 7x3 + (-30x3 + 5x4))

Combine like terms: -84x + 1248x = 1164x
y = (504 + 1164x + -208x2 + -42x2 + 7x3 + -30x3 + 5x4)

Combine like terms: -208x2 + -42x2 = -250x2
y = (504 + 1164x + -250x2 + 7x3 + -30x3 + 5x4)

Combine like terms: 7x3 + -30x3 = -23x3
y = (504 + 1164x + -250x2 + -23x3 + 5x4)

Solving
y = 504 + 1164x + -250x2 + -23x3 + 5x4

Solving for variable 'y'.

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

Simplifying
y = 504 + 1164x + -250x2 + -23x3 + 5x4

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