-4u(u-7)(u+3)=0

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Solution for -4u(u-7)(u+3)=0 equation:


Simplifying
-4u(u + -7)(u + 3) = 0

Reorder the terms:
-4u(-7 + u)(u + 3) = 0

Reorder the terms:
-4u(-7 + u)(3 + u) = 0

Multiply (-7 + u) * (3 + u)
-4u(-7(3 + u) + u(3 + u)) = 0
-4u((3 * -7 + u * -7) + u(3 + u)) = 0
-4u((-21 + -7u) + u(3 + u)) = 0
-4u(-21 + -7u + (3 * u + u * u)) = 0
-4u(-21 + -7u + (3u + u2)) = 0

Combine like terms: -7u + 3u = -4u
-4u(-21 + -4u + u2) = 0
(-21 * -4u + -4u * -4u + u2 * -4u) = 0
(84u + 16u2 + -4u3) = 0

Solving
84u + 16u2 + -4u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '4u'.
4u(21 + 4u + -1u2) = 0

Factor a trinomial.
4u((7 + -1u)(3 + u)) = 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 '(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 '(3 + u)' equal to zero and attempt to solve: Simplifying 3 + u = 0 Solving 3 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + u = 0 + -3 u = 0 + -3 Combine like terms: 0 + -3 = -3 u = -3 Simplifying u = -3

Solution

u = {0, 7, -3}

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