(8+u)(4u-6)=0

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Solution for (8+u)(4u-6)=0 equation:


Simplifying
(8 + u)(4u + -6) = 0

Reorder the terms:
(8 + u)(-6 + 4u) = 0

Multiply (8 + u) * (-6 + 4u)
(8(-6 + 4u) + u(-6 + 4u)) = 0
((-6 * 8 + 4u * 8) + u(-6 + 4u)) = 0
((-48 + 32u) + u(-6 + 4u)) = 0
(-48 + 32u + (-6 * u + 4u * u)) = 0
(-48 + 32u + (-6u + 4u2)) = 0

Combine like terms: 32u + -6u = 26u
(-48 + 26u + 4u2) = 0

Solving
-48 + 26u + 4u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-24 + 13u + 2u2) = 0

Factor a trinomial.
2((-8 + -1u)(3 + -2u)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-8 + -1u)' equal to zero and attempt to solve: Simplifying -8 + -1u = 0 Solving -8 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1u = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1u = 0 + 8 -1u = 0 + 8 Combine like terms: 0 + 8 = 8 -1u = 8 Divide each side by '-1'. u = -8 Simplifying u = -8

Subproblem 2

Set the factor '(3 + -2u)' equal to zero and attempt to solve: Simplifying 3 + -2u = 0 Solving 3 + -2u = 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 + -2u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2u = 0 + -3 -2u = 0 + -3 Combine like terms: 0 + -3 = -3 -2u = -3 Divide each side by '-2'. u = 1.5 Simplifying u = 1.5

Solution

u = {-8, 1.5}

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