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

Reorder the terms:
-5u + 8u + u2 = u(u + 2) + -4

Combine like terms: -5u + 8u = 3u
3u + u2 = u(u + 2) + -4

Reorder the terms:
3u + u2 = u(2 + u) + -4
3u + u2 = (2 * u + u * u) + -4
3u + u2 = (2u + u2) + -4

Reorder the terms:
3u + u2 = -4 + 2u + u2

Add '-1u2' to each side of the equation.
3u + u2 + -1u2 = -4 + 2u + u2 + -1u2

Combine like terms: u2 + -1u2 = 0
3u + 0 = -4 + 2u + u2 + -1u2
3u = -4 + 2u + u2 + -1u2

Combine like terms: u2 + -1u2 = 0
3u = -4 + 2u + 0
3u = -4 + 2u

Solving
3u = -4 + 2u

Solving for variable 'u'.

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

Add '-2u' to each side of the equation.
3u + -2u = -4 + 2u + -2u

Combine like terms: 3u + -2u = 1u
1u = -4 + 2u + -2u

Combine like terms: 2u + -2u = 0
1u = -4 + 0
1u = -4

Divide each side by '1'.
u = -4

Simplifying
u = -4

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