(x-45)(x-45)(x-45)+x+x=540

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Solution for (x-45)(x-45)(x-45)+x+x=540 equation: 


Simplifying
(x + -45)(x + -45)(x + -45) + x + x = 540

Reorder the terms:
(-45 + x)(x + -45)(x + -45) + x + x = 540

Reorder the terms:
(-45 + x)(-45 + x)(x + -45) + x + x = 540

Reorder the terms:
(-45 + x)(-45 + x)(-45 + x) + x + x = 540

Multiply (-45 + x) * (-45 + x)
(-45(-45 + x) + x(-45 + x))(-45 + x) + x + x = 540
((-45 * -45 + x * -45) + x(-45 + x))(-45 + x) + x + x = 540
((2025 + -45x) + x(-45 + x))(-45 + x) + x + x = 540
(2025 + -45x + (-45 * x + x * x))(-45 + x) + x + x = 540
(2025 + -45x + (-45x + x2))(-45 + x) + x + x = 540

Combine like terms: -45x + -45x = -90x
(2025 + -90x + x2)(-45 + x) + x + x = 540

Multiply (2025 + -90x + x2) * (-45 + x)
(2025(-45 + x) + -90x * (-45 + x) + x2(-45 + x)) + x + x = 540
((-45 * 2025 + x * 2025) + -90x * (-45 + x) + x2(-45 + x)) + x + x = 540
((-91125 + 2025x) + -90x * (-45 + x) + x2(-45 + x)) + x + x = 540
(-91125 + 2025x + (-45 * -90x + x * -90x) + x2(-45 + x)) + x + x = 540
(-91125 + 2025x + (4050x + -90x2) + x2(-45 + x)) + x + x = 540
(-91125 + 2025x + 4050x + -90x2 + (-45 * x2 + x * x2)) + x + x = 540
(-91125 + 2025x + 4050x + -90x2 + (-45x2 + x3)) + x + x = 540

Combine like terms: 2025x + 4050x = 6075x
(-91125 + 6075x + -90x2 + -45x2 + x3) + x + x = 540

Combine like terms: -90x2 + -45x2 = -135x2
(-91125 + 6075x + -135x2 + x3) + x + x = 540

Reorder the terms:
-91125 + 6075x + x + x + -135x2 + x3 = 540

Combine like terms: 6075x + x = 6076x
-91125 + 6076x + x + -135x2 + x3 = 540

Combine like terms: 6076x + x = 6077x
-91125 + 6077x + -135x2 + x3 = 540

Solving
-91125 + 6077x + -135x2 + x3 = 540

Solving for variable 'x'.

Reorder the terms:
-91125 + -540 + 6077x + -135x2 + x3 = 540 + -540

Combine like terms: -91125 + -540 = -91665
-91665 + 6077x + -135x2 + x3 = 540 + -540

Combine like terms: 540 + -540 = 0
-91665 + 6077x + -135x2 + x3 = 0

The solution to this equation could not be determined.

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