(4u+2)(6-u)=0

Simple and best practice solution for (4u+2)(6-u)=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 (4u+2)(6-u)=0 equation:


Simplifying
(4u + 2)(6 + -1u) = 0

Reorder the terms:
(2 + 4u)(6 + -1u) = 0

Multiply (2 + 4u) * (6 + -1u)
(2(6 + -1u) + 4u * (6 + -1u)) = 0
((6 * 2 + -1u * 2) + 4u * (6 + -1u)) = 0
((12 + -2u) + 4u * (6 + -1u)) = 0
(12 + -2u + (6 * 4u + -1u * 4u)) = 0
(12 + -2u + (24u + -4u2)) = 0

Combine like terms: -2u + 24u = 22u
(12 + 22u + -4u2) = 0

Solving
12 + 22u + -4u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + 11u + -2u2) = 0

Factor a trinomial.
2((6 + -1u)(1 + 2u)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(6 + -1u)' equal to zero and attempt to solve: Simplifying 6 + -1u = 0 Solving 6 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1u = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1u = 0 + -6 -1u = 0 + -6 Combine like terms: 0 + -6 = -6 -1u = -6 Divide each side by '-1'. u = 6 Simplifying u = 6

Subproblem 2

Set the factor '(1 + 2u)' equal to zero and attempt to solve: Simplifying 1 + 2u = 0 Solving 1 + 2u = 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 + 2u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2u = 0 + -1 2u = 0 + -1 Combine like terms: 0 + -1 = -1 2u = -1 Divide each side by '2'. u = -0.5 Simplifying u = -0.5

Solution

u = {6, -0.5}

See similar equations:

| k-90=-120 | | 2(8-x)=4(2x+4) | | 5w(w-8)(w+7)=0 | | 18=30-k | | -2x=-3+9 | | 18+11y+y^2= | | -n+34=3(n+6) | | -8.9=23.6-k | | a^2-14a+24= | | x^2+6x-2=(x^2+6x+7)-7-2 | | -6(x-2)+8x=-4+4x | | -4x+7y=13 | | (6+u)(3u+7)=0 | | 3y=-2x | | m^2+9m+20= | | -33-15f=87 | | 5(-2+8k)=29+k | | x^2+4x-175=0 | | 15+2x=45 | | y^2+14y+13= | | 4x-5y=32 | | -2(4y-15)=-y+9 | | y-4x=3 | | 2v^2=-5v-2 | | 4p-8=-8(p-2) | | 4y^3-4y^2-80y=0 | | 1.2+x=-5 | | -y-3y+71=33y-16y+8 | | 2x^2+31=9 | | x^2+9x=-7 | | j^2-9jk-10k^2= | | 3n+5=2n |

Equations solver categories