(2u+7)(8-u)=0

Simple and best practice solution for (2u+7)(8-u)=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (2u+7)(8-u)=0 equation: 


Simplifying
(2u + 7)(8 + -1u) = 0

Reorder the terms:
(7 + 2u)(8 + -1u) = 0

Multiply (7 + 2u) * (8 + -1u)
(7(8 + -1u) + 2u * (8 + -1u)) = 0
((8 * 7 + -1u * 7) + 2u * (8 + -1u)) = 0
((56 + -7u) + 2u * (8 + -1u)) = 0
(56 + -7u + (8 * 2u + -1u * 2u)) = 0
(56 + -7u + (16u + -2u2)) = 0

Combine like terms: -7u + 16u = 9u
(56 + 9u + -2u2) = 0

Solving
56 + 9u + -2u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(8 + -1u)(7 + 2u) = 0


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 '(7 + 2u)' equal to zero and attempt to solve:

Simplifying
7 + 2u = 0

Solving
7 + 2u = 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 + 2u = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2u = 0 + -7
2u = 0 + -7

Combine like terms: 0 + -7 = -7
2u = -7

Divide each side by '2'.
u = -3.5

Simplifying
u = -3.5
Solution
u = {8, -3.5}

See similar equations:

| y/y+8=x/7 | | 2z+4z=5z-9 | | 84x+105x=4998 | | X(9x+1)=4x^2-8x+2 | | x^2+x=64 | | z/z^2 | | -1+2y=-4 | | 1+2y=-4 | | 9n^9-36n^8-540n^7=0 | | x=-96-3x | | 84x+105(3-x)=4998 | | y=144-3(48-y) | | 84x+105(x-3)=4998 | | -3x+5=2x | | 2/3x+6=27 | | 7/2x+1/2x=3x+3/2+5/2 | | 6x-12-4=16 | | y=0.28y | | 81x^2+72x+16x=0 | | R-7.6=-7.2 | | 6v^2+41v+63=0 | | y=0.56y | | x+4/2=45/24 | | 144-7x/4-4 | | y=-3/4x | | 17xy^4+51x^2y^3= | | 45/150 | | 3x-4y+9y-7x= | | y=0.6y | | 2/3(2x-9) | | 1-x=2x+1 | | X^2-5p-14=0 |

Equations solver categories