4(u+5)=-3(2u-4)4u

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Solution for 4(u+5)=-3(2u-4)4u equation: 


Simplifying
4(u + 5) = -3(2u + -4) * 4u

Reorder the terms:
4(5 + u) = -3(2u + -4) * 4u
(5 * 4 + u * 4) = -3(2u + -4) * 4u
(20 + 4u) = -3(2u + -4) * 4u

Reorder the terms:
20 + 4u = -3(-4 + 2u) * 4u

Reorder the terms for easier multiplication:
20 + 4u = -3 * 4u(-4 + 2u)

Multiply -3 * 4
20 + 4u = -12u(-4 + 2u)
20 + 4u = (-4 * -12u + 2u * -12u)
20 + 4u = (48u + -24u2)

Solving
20 + 4u = 48u + -24u2

Solving for variable 'u'.

Combine like terms: 4u + -48u = -44u
20 + -44u + 24u2 = 48u + -24u2 + -48u + 24u2

Reorder the terms:
20 + -44u + 24u2 = 48u + -48u + -24u2 + 24u2

Combine like terms: 48u + -48u = 0
20 + -44u + 24u2 = 0 + -24u2 + 24u2
20 + -44u + 24u2 = -24u2 + 24u2

Combine like terms: -24u2 + 24u2 = 0
20 + -44u + 24u2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(5 + -11u + 6u2) = 0

Factor a trinomial.
4((5 + -6u)(1 + -1u)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(5 + -6u)' equal to zero and attempt to solve:

Simplifying
5 + -6u = 0

Solving
5 + -6u = 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 + -6u = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6u = 0 + -5
-6u = 0 + -5

Combine like terms: 0 + -5 = -5
-6u = -5

Divide each side by '-6'.
u = 0.8333333333

Simplifying
u = 0.8333333333

Subproblem 2
Set the factor '(1 + -1u)' equal to zero and attempt to solve:

Simplifying
1 + -1u = 0

Solving
1 + -1u = 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 + -1u = 0 + -1

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

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

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

Simplifying
u = 1
Solution
u = {0.8333333333, 1}

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