4u(5u+8)+u(7u+4)=

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Solution for 4u(5u+8)+u(7u+4)= equation:


Simplifying
4u(5u + 8) + u(7u + 4) = 0

Reorder the terms:
4u(8 + 5u) + u(7u + 4) = 0
(8 * 4u + 5u * 4u) + u(7u + 4) = 0
(32u + 20u2) + u(7u + 4) = 0

Reorder the terms:
32u + 20u2 + u(4 + 7u) = 0
32u + 20u2 + (4 * u + 7u * u) = 0
32u + 20u2 + (4u + 7u2) = 0

Reorder the terms:
32u + 4u + 20u2 + 7u2 = 0

Combine like terms: 32u + 4u = 36u
36u + 20u2 + 7u2 = 0

Combine like terms: 20u2 + 7u2 = 27u2
36u + 27u2 = 0

Solving
36u + 27u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '9u'.
9u(4 + 3u) = 0

Ignore the factor 9.

Subproblem 1

Set the factor 'u' equal to zero and attempt to solve: Simplifying u = 0 Solving u = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u = 0

Subproblem 2

Set the factor '(4 + 3u)' equal to zero and attempt to solve: Simplifying 4 + 3u = 0 Solving 4 + 3u = 0 Move all terms containing u to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3u = 0 + -4 3u = 0 + -4 Combine like terms: 0 + -4 = -4 3u = -4 Divide each side by '3'. u = -1.333333333 Simplifying u = -1.333333333

Solution

u = {0, -1.333333333}

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