2u(u+7)(u-5)=0

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Solution for 2u(u+7)(u-5)=0 equation: 


Simplifying
2u(u + 7)(u + -5) = 0

Reorder the terms:
2u(7 + u)(u + -5) = 0

Reorder the terms:
2u(7 + u)(-5 + u) = 0

Multiply (7 + u) * (-5 + u)
2u(7(-5 + u) + u(-5 + u)) = 0
2u((-5 * 7 + u * 7) + u(-5 + u)) = 0
2u((-35 + 7u) + u(-5 + u)) = 0
2u(-35 + 7u + (-5 * u + u * u)) = 0
2u(-35 + 7u + (-5u + u2)) = 0

Combine like terms: 7u + -5u = 2u
2u(-35 + 2u + u2) = 0
(-35 * 2u + 2u * 2u + u2 * 2u) = 0
(-70u + 4u2 + 2u3) = 0

Solving
-70u + 4u2 + 2u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '2u'.
2u(-35 + 2u + u2) = 0

Factor a trinomial.
2u((-7 + -1u)(5 + -1u)) = 0

Ignore the factor 2.

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 '(-7 + -1u)' equal to zero and attempt to solve:

Simplifying
-7 + -1u = 0

Solving
-7 + -1u = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1u = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1u = 0 + 7
-1u = 0 + 7

Combine like terms: 0 + 7 = 7
-1u = 7

Divide each side by '-1'.
u = -7

Simplifying
u = -7

Subproblem 3
Set the factor '(5 + -1u)' equal to zero and attempt to solve:

Simplifying
5 + -1u = 0

Solving
5 + -1u = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1u = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1u = 0 + -5
-1u = 0 + -5

Combine like terms: 0 + -5 = -5
-1u = -5

Divide each side by '-1'.
u = 5

Simplifying
u = 5
Solution
u = {0, -7, 5}

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