(x-30)(x-30)(x-30)=540

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Solution for (x-30)(x-30)(x-30)=540 equation:


Simplifying
(x + -30)(x + -30)(x + -30) = 540

Reorder the terms:
(-30 + x)(x + -30)(x + -30) = 540

Reorder the terms:
(-30 + x)(-30 + x)(x + -30) = 540

Reorder the terms:
(-30 + x)(-30 + x)(-30 + x) = 540

Multiply (-30 + x) * (-30 + x)
(-30(-30 + x) + x(-30 + x))(-30 + x) = 540
((-30 * -30 + x * -30) + x(-30 + x))(-30 + x) = 540
((900 + -30x) + x(-30 + x))(-30 + x) = 540
(900 + -30x + (-30 * x + x * x))(-30 + x) = 540
(900 + -30x + (-30x + x2))(-30 + x) = 540

Combine like terms: -30x + -30x = -60x
(900 + -60x + x2)(-30 + x) = 540

Multiply (900 + -60x + x2) * (-30 + x)
(900(-30 + x) + -60x * (-30 + x) + x2(-30 + x)) = 540
((-30 * 900 + x * 900) + -60x * (-30 + x) + x2(-30 + x)) = 540
((-27000 + 900x) + -60x * (-30 + x) + x2(-30 + x)) = 540
(-27000 + 900x + (-30 * -60x + x * -60x) + x2(-30 + x)) = 540
(-27000 + 900x + (1800x + -60x2) + x2(-30 + x)) = 540
(-27000 + 900x + 1800x + -60x2 + (-30 * x2 + x * x2)) = 540
(-27000 + 900x + 1800x + -60x2 + (-30x2 + x3)) = 540

Combine like terms: 900x + 1800x = 2700x
(-27000 + 2700x + -60x2 + -30x2 + x3) = 540

Combine like terms: -60x2 + -30x2 = -90x2
(-27000 + 2700x + -90x2 + x3) = 540

Solving
-27000 + 2700x + -90x2 + x3 = 540

Solving for variable 'x'.

Reorder the terms:
-27000 + -540 + 2700x + -90x2 + x3 = 540 + -540

Combine like terms: -27000 + -540 = -27540
-27540 + 2700x + -90x2 + x3 = 540 + -540

Combine like terms: 540 + -540 = 0
-27540 + 2700x + -90x2 + x3 = 0

The solution to this equation could not be determined.

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