(u-2)(u-5)=0

Simple and best practice solution for (u-2)(u-5)=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 (u-2)(u-5)=0 equation:


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

Reorder the terms:
(-2 + u)(u + -5) = 0

Reorder the terms:
(-2 + u)(-5 + u) = 0

Multiply (-2 + u) * (-5 + u)
(-2(-5 + u) + u(-5 + u)) = 0
((-5 * -2 + u * -2) + u(-5 + u)) = 0
((10 + -2u) + u(-5 + u)) = 0
(10 + -2u + (-5 * u + u * u)) = 0
(10 + -2u + (-5u + u2)) = 0

Combine like terms: -2u + -5u = -7u
(10 + -7u + u2) = 0

Solving
10 + -7u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(2 + -1u)(5 + -1u) = 0

Subproblem 1

Set the factor '(2 + -1u)' equal to zero and attempt to solve: Simplifying 2 + -1u = 0 Solving 2 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1u = 0 + -2 -1u = 0 + -2 Combine like terms: 0 + -2 = -2 -1u = -2 Divide each side by '-1'. u = 2 Simplifying u = 2

Subproblem 2

Set the factor '(5 + -1u)' equal to zero and attempt to solve: Simplifying 5 + -1u = 0 Solving 5 + -1u = 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 + -1u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1u = 0 + -5 -1u = 0 + -5 Combine like terms: 0 + -5 = -5 -1u = -5 Divide each side by '-1'. u = 5 Simplifying u = 5

Solution

u = {2, 5}

See similar equations:

| -4z-3z=3z+8-8z | | (-2)(u-5)=0 | | 7x^2+3x-2=0 | | 6(3+4x)-2=136 | | 3z-7z=3z-7+2z | | 9(4x+1)=3x-7x | | 5r+15=35 | | 19x-8=13x-20 | | -5y-3=-4y-6 | | 20+1=-3(4x-7) | | 2w^2=9w+5 | | 5x-4=35x+8 | | 3n(n-1)=5n+3-2n | | 9x-3=24x+2 | | 2X+20=24 | | 2(4x+5)=-37+31 | | -32=5k+13k | | 4x+15=7x+21 | | 3x^2-10x+9= | | 4z-8-2z+4=0 | | 25x^2+18x=0 | | 4x-5(-8)=20 | | -4(x+4)=-3x-6 | | 4x^2-27x+29=-8x+8 | | 4z+5-z=7+2z-7 | | 8(z-3)=7z | | 3(z-3)=7z | | 6-(3z-1)=3-4z | | x^2-4x+9=3x+3 | | 5x-7=4x+5 | | 3z-0.4=4z | | 4(2a-3)-6a+7=9 |

Equations solver categories