2u^2-13u+20=(u-4)(u-4)

Simple and best practice solution for 2u^2-13u+20=(u-4)(u-4) 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^2-13u+20=(u-4)(u-4) equation: 


Simplifying
2u2 + -13u + 20 = (u + -4)(u + -4)

Reorder the terms:
20 + -13u + 2u2 = (u + -4)(u + -4)

Reorder the terms:
20 + -13u + 2u2 = (-4 + u)(u + -4)

Reorder the terms:
20 + -13u + 2u2 = (-4 + u)(-4 + u)

Multiply (-4 + u) * (-4 + u)
20 + -13u + 2u2 = (-4(-4 + u) + u(-4 + u))
20 + -13u + 2u2 = ((-4 * -4 + u * -4) + u(-4 + u))
20 + -13u + 2u2 = ((16 + -4u) + u(-4 + u))
20 + -13u + 2u2 = (16 + -4u + (-4 * u + u * u))
20 + -13u + 2u2 = (16 + -4u + (-4u + u2))

Combine like terms: -4u + -4u = -8u
20 + -13u + 2u2 = (16 + -8u + u2)

Solving
20 + -13u + 2u2 = 16 + -8u + u2

Solving for variable 'u'.

Reorder the terms:
20 + -16 + -13u + 8u + 2u2 + -1u2 = 16 + -8u + u2 + -16 + 8u + -1u2

Combine like terms: 20 + -16 = 4
4 + -13u + 8u + 2u2 + -1u2 = 16 + -8u + u2 + -16 + 8u + -1u2

Combine like terms: -13u + 8u = -5u
4 + -5u + 2u2 + -1u2 = 16 + -8u + u2 + -16 + 8u + -1u2

Combine like terms: 2u2 + -1u2 = 1u2
4 + -5u + 1u2 = 16 + -8u + u2 + -16 + 8u + -1u2

Reorder the terms:
4 + -5u + 1u2 = 16 + -16 + -8u + 8u + u2 + -1u2

Combine like terms: 16 + -16 = 0
4 + -5u + 1u2 = 0 + -8u + 8u + u2 + -1u2
4 + -5u + 1u2 = -8u + 8u + u2 + -1u2

Combine like terms: -8u + 8u = 0
4 + -5u + 1u2 = 0 + u2 + -1u2
4 + -5u + 1u2 = u2 + -1u2

Combine like terms: u2 + -1u2 = 0
4 + -5u + 1u2 = 0

Factor a trinomial.
(1 + -1u)(4 + -1u) = 0


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

Simplifying
1 + -1u = 0

Solving
1 + -1u = 0

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

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

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

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

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

Simplifying
u = 1

Subproblem 2
Set the factor '(4 + -1u)' equal to zero and attempt to solve:

Simplifying
4 + -1u = 0

Solving
4 + -1u = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1u = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1u = 0 + -4
-1u = 0 + -4

Combine like terms: 0 + -4 = -4
-1u = -4

Divide each side by '-1'.
u = 4

Simplifying
u = 4
Solution
u = {1, 4}

See similar equations:

| 2x-4y=-4 | | 3x-570=2734 | | 2u^2-16u+15=(u-6)(u-6) | | 5(3x-1)+15=-5 | | 4a+2b+c=1 | | (u+4)(u+4)=2u^2+10u+8 | | (2x+1)(2x+1)=169 | | 14v=3v^2-5 | | 5w^2+3=-16w | | y-7y=30 | | 4v^2=-13v-3 | | 30v=9v^2+25 | | 4u^2+9=-12u | | 5u^2-24u=5 | | 3w^2=-10w-3 | | xv-3y-3v+yx=0 | | 102+9x=103+8x | | 82+5x=83+4x | | y+7-7=10-7 | | v^2+8v+16=0 | | 120+8x=124+4x | | 112+8x=118+6x | | -8=p-134 | | b-7=1 | | 2y(y-1)(y-3)=0 | | (1+z)(2z+3)=0 | | (w+8)(w+7)=0 | | x+1=2x-5 | | v-10=9 | | B=6nf | | x-456=2 | | x-456=2-x |

Equations solver categories