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

Simple and best practice solution for 5(u+7)(-u+8)=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 5(u+7)(-u+8)=0 equation: 


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

Reorder the terms:
5(7 + u)(-1u + 8) = 0

Reorder the terms:
5(7 + u)(8 + -1u) = 0

Multiply (7 + u) * (8 + -1u)
5(7(8 + -1u) + u(8 + -1u)) = 0
5((8 * 7 + -1u * 7) + u(8 + -1u)) = 0
5((56 + -7u) + u(8 + -1u)) = 0
5(56 + -7u + (8 * u + -1u * u)) = 0
5(56 + -7u + (8u + -1u2)) = 0

Combine like terms: -7u + 8u = 1u
5(56 + 1u + -1u2) = 0
(56 * 5 + 1u * 5 + -1u2 * 5) = 0
(280 + 5u + -5u2) = 0

Solving
280 + 5u + -5u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '5'.
5(56 + u + -1u2) = 0

Factor a trinomial.
5((8 + -1u)(7 + u)) = 0

Ignore the factor 5.

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 + u)' equal to zero and attempt to solve:

Simplifying
7 + u = 0

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

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

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

Simplifying
u = -7
Solution
u = {8, -7}

See similar equations:

| 3x-5(6-3x)=2 | | 51=-2x+7(x+3) | | 10a^3+15a^2b-4ab^2-6b^3= | | 12d-15-7d=18-6d | | -7x+2(-2-10)=-108 | | 11x-14=53 | | 27t-3t^2=0 | | 2x+7x+1=-4 | | -2n-2=36 | | 216=43x | | -104=4x-2(-2x+16) | | (5+w)(4w-9)=0 | | -x^2+9x+49=0 | | 0=x^2-10x-75 | | -5x+6(5x+4)=-101 | | 20=.41x-4.23 | | x(a+1)-x(a+1)=2a+4 | | -122=-7x+2(-2x+5) | | -3x=21-6x | | 18=.41x-4.23 | | -3x^2+3x+45=0 | | 30=.41x-4.23 | | 150=4x+5(x+21) | | 0=x^2+48x-144 | | 30=.41-4.23 | | 6x+35=4x+45 | | 2x^2-2x-47=0 | | -89+-99= | | 9=log^5M | | -x^2+2x+14=0 | | 36+65+3x+52=180 | | b=-6(18+3b) |

Equations solver categories