5u(2u+3)-2u(u-7)=

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Solution for 5u(2u+3)-2u(u-7)= equation: 


Simplifying
5u(2u + 3) + -2u(u + -7) = 0

Reorder the terms:
5u(3 + 2u) + -2u(u + -7) = 0
(3 * 5u + 2u * 5u) + -2u(u + -7) = 0
(15u + 10u2) + -2u(u + -7) = 0

Reorder the terms:
15u + 10u2 + -2u(-7 + u) = 0
15u + 10u2 + (-7 * -2u + u * -2u) = 0
15u + 10u2 + (14u + -2u2) = 0

Reorder the terms:
15u + 14u + 10u2 + -2u2 = 0

Combine like terms: 15u + 14u = 29u
29u + 10u2 + -2u2 = 0

Combine like terms: 10u2 + -2u2 = 8u2
29u + 8u2 = 0

Solving
29u + 8u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), 'u'.
u(29 + 8u) = 0


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 '(29 + 8u)' equal to zero and attempt to solve:

Simplifying
29 + 8u = 0

Solving
29 + 8u = 0

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

Add '-29' to each side of the equation.
29 + -29 + 8u = 0 + -29

Combine like terms: 29 + -29 = 0
0 + 8u = 0 + -29
8u = 0 + -29

Combine like terms: 0 + -29 = -29
8u = -29

Divide each side by '8'.
u = -3.625

Simplifying
u = -3.625
Solution
u = {0, -3.625}

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