3u*3u-4u-5u*5u-7u=

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Solution for 3u*3u-4u-5u*5u-7u= equation: 


Simplifying
3u * 3u + -4u + -5u * 5u + -7u = 0

Reorder the terms for easier multiplication:
3 * 3u * u + -4u + -5u * 5u + -7u = 0

Multiply 3 * 3
9u * u + -4u + -5u * 5u + -7u = 0

Multiply u * u
9u2 + -4u + -5u * 5u + -7u = 0

Reorder the terms for easier multiplication:
9u2 + -4u + -5 * 5u * u + -7u = 0

Multiply -5 * 5
9u2 + -4u + -25u * u + -7u = 0

Multiply u * u
9u2 + -4u + -25u2 + -7u = 0

Reorder the terms:
-4u + -7u + 9u2 + -25u2 = 0

Combine like terms: -4u + -7u = -11u
-11u + 9u2 + -25u2 = 0

Combine like terms: 9u2 + -25u2 = -16u2
-11u + -16u2 = 0

Solving
-11u + -16u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '-1u'.
-1u(11 + 16u) = 0

Ignore the factor -1.

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 '(11 + 16u)' equal to zero and attempt to solve:

Simplifying
11 + 16u = 0

Solving
11 + 16u = 0

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

Add '-11' to each side of the equation.
11 + -11 + 16u = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 16u = 0 + -11
16u = 0 + -11

Combine like terms: 0 + -11 = -11
16u = -11

Divide each side by '16'.
u = -0.6875

Simplifying
u = -0.6875
Solution
u = {0, -0.6875}

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