4u(u+9)(u-7)=0

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Solution for 4u(u+9)(u-7)=0 equation: 


Simplifying
4u(u + 9)(u + -7) = 0

Reorder the terms:
4u(9 + u)(u + -7) = 0

Reorder the terms:
4u(9 + u)(-7 + u) = 0

Multiply (9 + u) * (-7 + u)
4u(9(-7 + u) + u(-7 + u)) = 0
4u((-7 * 9 + u * 9) + u(-7 + u)) = 0
4u((-63 + 9u) + u(-7 + u)) = 0
4u(-63 + 9u + (-7 * u + u * u)) = 0
4u(-63 + 9u + (-7u + u2)) = 0

Combine like terms: 9u + -7u = 2u
4u(-63 + 2u + u2) = 0
(-63 * 4u + 2u * 4u + u2 * 4u) = 0
(-252u + 8u2 + 4u3) = 0

Solving
-252u + 8u2 + 4u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '4u'.
4u(-63 + 2u + u2) = 0

Factor a trinomial.
4u((-9 + -1u)(7 + -1u)) = 0

Ignore the factor 4.

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 '(-9 + -1u)' equal to zero and attempt to solve:

Simplifying
-9 + -1u = 0

Solving
-9 + -1u = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1u = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1u = 0 + 9
-1u = 0 + 9

Combine like terms: 0 + 9 = 9
-1u = 9

Divide each side by '-1'.
u = -9

Simplifying
u = -9

Subproblem 3
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
Solution
u = {0, -9, 7}

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