(u-2)(u-2)=2u^2-12u+11

Simple and best practice solution for (u-2)(u-2)=2u^2-12u+11 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-2)=2u^2-12u+11 equation: 


Simplifying
(u + -2)(u + -2) = 2u2 + -12u + 11

Reorder the terms:
(-2 + u)(u + -2) = 2u2 + -12u + 11

Reorder the terms:
(-2 + u)(-2 + u) = 2u2 + -12u + 11

Multiply (-2 + u) * (-2 + u)
(-2(-2 + u) + u(-2 + u)) = 2u2 + -12u + 11
((-2 * -2 + u * -2) + u(-2 + u)) = 2u2 + -12u + 11
((4 + -2u) + u(-2 + u)) = 2u2 + -12u + 11
(4 + -2u + (-2 * u + u * u)) = 2u2 + -12u + 11
(4 + -2u + (-2u + u2)) = 2u2 + -12u + 11

Combine like terms: -2u + -2u = -4u
(4 + -4u + u2) = 2u2 + -12u + 11

Reorder the terms:
4 + -4u + u2 = 11 + -12u + 2u2

Solving
4 + -4u + u2 = 11 + -12u + 2u2

Solving for variable 'u'.

Reorder the terms:
4 + -11 + -4u + 12u + u2 + -2u2 = 11 + -12u + 2u2 + -11 + 12u + -2u2

Combine like terms: 4 + -11 = -7
-7 + -4u + 12u + u2 + -2u2 = 11 + -12u + 2u2 + -11 + 12u + -2u2

Combine like terms: -4u + 12u = 8u
-7 + 8u + u2 + -2u2 = 11 + -12u + 2u2 + -11 + 12u + -2u2

Combine like terms: u2 + -2u2 = -1u2
-7 + 8u + -1u2 = 11 + -12u + 2u2 + -11 + 12u + -2u2

Reorder the terms:
-7 + 8u + -1u2 = 11 + -11 + -12u + 12u + 2u2 + -2u2

Combine like terms: 11 + -11 = 0
-7 + 8u + -1u2 = 0 + -12u + 12u + 2u2 + -2u2
-7 + 8u + -1u2 = -12u + 12u + 2u2 + -2u2

Combine like terms: -12u + 12u = 0
-7 + 8u + -1u2 = 0 + 2u2 + -2u2
-7 + 8u + -1u2 = 2u2 + -2u2

Combine like terms: 2u2 + -2u2 = 0
-7 + 8u + -1u2 = 0

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


Subproblem 1
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

Subproblem 2
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
Solution
u = {7, 1}

See similar equations:

| 7(x+4)+4= | | 3.8=3.08+0.014x | | 18x+21=20x-25 | | n+2.5= | | 3.7=3.08+0.014x | | 5x-3+6x+2+2x-7=180 | | 3x^2+3y^2z=6y+6xz | | 39+3x=37.50+3.5x | | 4x^2=7x+15 | | 3.4=3.08+0.014x | | 7x-2x+6=5x+10 | | 3x^4-2x^3-2x=0 | | 4x-8+x+54=5+5x+45-2x | | 6(x+5)-(3x-4)= | | 3(2x-5)+2=(3x-1)-2(x-4) | | 5.22-1.34x=4x-0.921 | | 8x+4=12x-9 | | 3(4z-7)+8(2z+4)=0 | | 5p+yr=r-6g | | 5y-5=y-12+7y | | (16b-6)-5(3b+3)=-3 | | 5(x-4)+3x-9x=6-(2x-5)+8x | | 0.6x+0.8660y-784.8=0 | | x*x-2=11 | | -5+3v=3v-5 | | 2x+7y=18 | | X-5=-54 | | 9s+12s+4=0 | | -13+5x=4x-7-2 | | 4x-17=4x+16 | | d=4.7+2.8(7.4) | | x*x-2=31 |

Equations solver categories