(x-45)(x-45)(x-45)(x-45)=360

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Solution for (x-45)(x-45)(x-45)(x-45)=360 equation:


Simplifying
(x + -45)(x + -45)(x + -45)(x + -45) = 360

Reorder the terms:
(-45 + x)(x + -45)(x + -45)(x + -45) = 360

Reorder the terms:
(-45 + x)(-45 + x)(x + -45)(x + -45) = 360

Reorder the terms:
(-45 + x)(-45 + x)(-45 + x)(x + -45) = 360

Reorder the terms:
(-45 + x)(-45 + x)(-45 + x)(-45 + x) = 360

Multiply (-45 + x) * (-45 + x)
(-45(-45 + x) + x(-45 + x))(-45 + x)(-45 + x) = 360
((-45 * -45 + x * -45) + x(-45 + x))(-45 + x)(-45 + x) = 360
((2025 + -45x) + x(-45 + x))(-45 + x)(-45 + x) = 360
(2025 + -45x + (-45 * x + x * x))(-45 + x)(-45 + x) = 360
(2025 + -45x + (-45x + x2))(-45 + x)(-45 + x) = 360

Combine like terms: -45x + -45x = -90x
(2025 + -90x + x2)(-45 + x)(-45 + x) = 360

Multiply (2025 + -90x + x2) * (-45 + x)
(2025(-45 + x) + -90x * (-45 + x) + x2(-45 + x))(-45 + x) = 360
((-45 * 2025 + x * 2025) + -90x * (-45 + x) + x2(-45 + x))(-45 + x) = 360
((-91125 + 2025x) + -90x * (-45 + x) + x2(-45 + x))(-45 + x) = 360
(-91125 + 2025x + (-45 * -90x + x * -90x) + x2(-45 + x))(-45 + x) = 360
(-91125 + 2025x + (4050x + -90x2) + x2(-45 + x))(-45 + x) = 360
(-91125 + 2025x + 4050x + -90x2 + (-45 * x2 + x * x2))(-45 + x) = 360
(-91125 + 2025x + 4050x + -90x2 + (-45x2 + x3))(-45 + x) = 360

Combine like terms: 2025x + 4050x = 6075x
(-91125 + 6075x + -90x2 + -45x2 + x3)(-45 + x) = 360

Combine like terms: -90x2 + -45x2 = -135x2
(-91125 + 6075x + -135x2 + x3)(-45 + x) = 360

Multiply (-91125 + 6075x + -135x2 + x3) * (-45 + x)
(-91125(-45 + x) + 6075x * (-45 + x) + -135x2 * (-45 + x) + x3(-45 + x)) = 360
((-45 * -91125 + x * -91125) + 6075x * (-45 + x) + -135x2 * (-45 + x) + x3(-45 + x)) = 360
((4100625 + -91125x) + 6075x * (-45 + x) + -135x2 * (-45 + x) + x3(-45 + x)) = 360
(4100625 + -91125x + (-45 * 6075x + x * 6075x) + -135x2 * (-45 + x) + x3(-45 + x)) = 360
(4100625 + -91125x + (-273375x + 6075x2) + -135x2 * (-45 + x) + x3(-45 + x)) = 360
(4100625 + -91125x + -273375x + 6075x2 + (-45 * -135x2 + x * -135x2) + x3(-45 + x)) = 360
(4100625 + -91125x + -273375x + 6075x2 + (6075x2 + -135x3) + x3(-45 + x)) = 360
(4100625 + -91125x + -273375x + 6075x2 + 6075x2 + -135x3 + (-45 * x3 + x * x3)) = 360
(4100625 + -91125x + -273375x + 6075x2 + 6075x2 + -135x3 + (-45x3 + x4)) = 360

Combine like terms: -91125x + -273375x = -364500x
(4100625 + -364500x + 6075x2 + 6075x2 + -135x3 + -45x3 + x4) = 360

Combine like terms: 6075x2 + 6075x2 = 12150x2
(4100625 + -364500x + 12150x2 + -135x3 + -45x3 + x4) = 360

Combine like terms: -135x3 + -45x3 = -180x3
(4100625 + -364500x + 12150x2 + -180x3 + x4) = 360

Solving
4100625 + -364500x + 12150x2 + -180x3 + x4 = 360

Solving for variable 'x'.

Reorder the terms:
4100625 + -360 + -364500x + 12150x2 + -180x3 + x4 = 360 + -360

Combine like terms: 4100625 + -360 = 4100265
4100265 + -364500x + 12150x2 + -180x3 + x4 = 360 + -360

Combine like terms: 360 + -360 = 0
4100265 + -364500x + 12150x2 + -180x3 + x4 = 0

The solution to this equation could not be determined.

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