24+4u^2=-28u

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Solution for 24+4u^2=-28u equation:


Simplifying
24 + 4u2 = -28u

Solving
24 + 4u2 = -28u

Solving for variable 'u'.

Reorder the terms:
24 + 28u + 4u2 = -28u + 28u

Combine like terms: -28u + 28u = 0
24 + 28u + 4u2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(6 + 7u + u2) = 0

Factor a trinomial.
4((6 + u)(1 + u)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(6 + u)' equal to zero and attempt to solve: Simplifying 6 + u = 0 Solving 6 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + u = 0 + -6 Combine like terms: 6 + -6 = 0 0 + u = 0 + -6 u = 0 + -6 Combine like terms: 0 + -6 = -6 u = -6 Simplifying u = -6

Subproblem 2

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

Solution

u = {-6, -1}

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