u(u-5)8u=u(u+2)-4

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Solution for u(u-5)8u=u(u+2)-4 equation:


Simplifying
u(u + -5) * 8u = u(u + 2) + -4

Reorder the terms:
u(-5 + u) * 8u = u(u + 2) + -4

Reorder the terms for easier multiplication:
8u * u(-5 + u) = u(u + 2) + -4

Multiply u * u
8u2(-5 + u) = u(u + 2) + -4
(-5 * 8u2 + u * 8u2) = u(u + 2) + -4
(-40u2 + 8u3) = u(u + 2) + -4

Reorder the terms:
-40u2 + 8u3 = u(2 + u) + -4
-40u2 + 8u3 = (2 * u + u * u) + -4
-40u2 + 8u3 = (2u + u2) + -4

Reorder the terms:
-40u2 + 8u3 = -4 + 2u + u2

Solving
-40u2 + 8u3 = -4 + 2u + u2

Solving for variable 'u'.

Reorder the terms:
4 + -2u + -40u2 + -1u2 + 8u3 = -4 + 2u + u2 + 4 + -2u + -1u2

Combine like terms: -40u2 + -1u2 = -41u2
4 + -2u + -41u2 + 8u3 = -4 + 2u + u2 + 4 + -2u + -1u2

Reorder the terms:
4 + -2u + -41u2 + 8u3 = -4 + 4 + 2u + -2u + u2 + -1u2

Combine like terms: -4 + 4 = 0
4 + -2u + -41u2 + 8u3 = 0 + 2u + -2u + u2 + -1u2
4 + -2u + -41u2 + 8u3 = 2u + -2u + u2 + -1u2

Combine like terms: 2u + -2u = 0
4 + -2u + -41u2 + 8u3 = 0 + u2 + -1u2
4 + -2u + -41u2 + 8u3 = u2 + -1u2

Combine like terms: u2 + -1u2 = 0
4 + -2u + -41u2 + 8u3 = 0

The solution to this equation could not be determined.

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