5u(u-9)(u+8)=0

Simple and best practice solution for 5u(u-9)(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 5u(u-9)(u+8)=0 equation: 


Simplifying
5u(u + -9)(u + 8) = 0

Reorder the terms:
5u(-9 + u)(u + 8) = 0

Reorder the terms:
5u(-9 + u)(8 + u) = 0

Multiply (-9 + u) * (8 + u)
5u(-9(8 + u) + u(8 + u)) = 0
5u((8 * -9 + u * -9) + u(8 + u)) = 0
5u((-72 + -9u) + u(8 + u)) = 0
5u(-72 + -9u + (8 * u + u * u)) = 0
5u(-72 + -9u + (8u + u2)) = 0

Combine like terms: -9u + 8u = -1u
5u(-72 + -1u + u2) = 0
(-72 * 5u + -1u * 5u + u2 * 5u) = 0
(-360u + -5u2 + 5u3) = 0

Solving
-360u + -5u2 + 5u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '5u'.
5u(-72 + -1u + u2) = 0

Factor a trinomial.
5u((-8 + -1u)(9 + -1u)) = 0

Ignore the factor 5.

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 '(-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 3
Set the factor '(9 + -1u)' equal to zero and attempt to solve:

Simplifying
9 + -1u = 0

Solving
9 + -1u = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1u = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1u = 0 + -9
-1u = 0 + -9

Combine like terms: 0 + -9 = -9
-1u = -9

Divide each side by '-1'.
u = 9

Simplifying
u = 9
Solution
u = {0, -8, 9}

See similar equations:

| x+2x+(x-9)=87 | | 6x+3x=4x+11 | | 15y-14=2(y+14)-y | | 5(x+4)/6=3x-5 | | x+(x-7)+1/2(x-5)=83 | | 5(3h-2)=29(h+8) | | 5(x+4)=3x-5 | | 5x^2-2y^2=-20 | | 2x^2-13-1=0 | | 3x/4=-3 | | 5x-3(x-5)=-9+5x+18 | | 3x=18x-5 | | (3-2x)/(5+19x) | | -40-10x=10x+10 | | m/-6+6=413 | | (3-2x)=(5+19x) | | 40=x^2+3x | | 3(x+6)=5(x-2) | | 4x^2+10x-7=0 | | 4x/3=6 | | y+9=-3y-7 | | x(23-2x)(13-2x)= | | 3y=7x+21 | | 8x+68=12x | | A^2+12a+38=3 | | x(21-2x)(12-2x)= | | 8y+27=27-3 | | y/-3=15 | | (2m+5)(4m-7)=0 | | X+65+25=180 | | 2x+8=7x | | 7y-7x=7y-42 |

Equations solver categories