y=(x-3)(x-3)+(x-9)(x-9)

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Solution for y=(x-3)(x-3)+(x-9)(x-9) equation:


Simplifying
y = (x + -3)(x + -3) + (x + -9)(x + -9)

Reorder the terms:
y = (-3 + x)(x + -3) + (x + -9)(x + -9)

Reorder the terms:
y = (-3 + x)(-3 + x) + (x + -9)(x + -9)

Multiply (-3 + x) * (-3 + x)
y = (-3(-3 + x) + x(-3 + x)) + (x + -9)(x + -9)
y = ((-3 * -3 + x * -3) + x(-3 + x)) + (x + -9)(x + -9)
y = ((9 + -3x) + x(-3 + x)) + (x + -9)(x + -9)
y = (9 + -3x + (-3 * x + x * x)) + (x + -9)(x + -9)
y = (9 + -3x + (-3x + x2)) + (x + -9)(x + -9)

Combine like terms: -3x + -3x = -6x
y = (9 + -6x + x2) + (x + -9)(x + -9)

Reorder the terms:
y = 9 + -6x + x2 + (-9 + x)(x + -9)

Reorder the terms:
y = 9 + -6x + x2 + (-9 + x)(-9 + x)

Multiply (-9 + x) * (-9 + x)
y = 9 + -6x + x2 + (-9(-9 + x) + x(-9 + x))
y = 9 + -6x + x2 + ((-9 * -9 + x * -9) + x(-9 + x))
y = 9 + -6x + x2 + ((81 + -9x) + x(-9 + x))
y = 9 + -6x + x2 + (81 + -9x + (-9 * x + x * x))
y = 9 + -6x + x2 + (81 + -9x + (-9x + x2))

Combine like terms: -9x + -9x = -18x
y = 9 + -6x + x2 + (81 + -18x + x2)

Reorder the terms:
y = 9 + 81 + -6x + -18x + x2 + x2

Combine like terms: 9 + 81 = 90
y = 90 + -6x + -18x + x2 + x2

Combine like terms: -6x + -18x = -24x
y = 90 + -24x + x2 + x2

Combine like terms: x2 + x2 = 2x2
y = 90 + -24x + 2x2

Solving
y = 90 + -24x + 2x2

Solving for variable 'y'.

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

Simplifying
y = 90 + -24x + 2x2

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