6u(u+4)-2u(3u-8)=10

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Solution for 6u(u+4)-2u(3u-8)=10 equation: 


Simplifying
6u(u + 4) + -2u(3u + -8) = 10

Reorder the terms:
6u(4 + u) + -2u(3u + -8) = 10
(4 * 6u + u * 6u) + -2u(3u + -8) = 10
(24u + 6u2) + -2u(3u + -8) = 10

Reorder the terms:
24u + 6u2 + -2u(-8 + 3u) = 10
24u + 6u2 + (-8 * -2u + 3u * -2u) = 10
24u + 6u2 + (16u + -6u2) = 10

Reorder the terms:
24u + 16u + 6u2 + -6u2 = 10

Combine like terms: 24u + 16u = 40u
40u + 6u2 + -6u2 = 10

Combine like terms: 6u2 + -6u2 = 0
40u + 0 = 10
40u = 10

Solving
40u = 10

Solving for variable 'u'.

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

Divide each side by '40'.
u = 0.25

Simplifying
u = 0.25

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