w(w-6)=16

Simple and best practice solution for w(w-6)=16 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 w(w-6)=16 equation:


Simplifying
w(w + -6) = 16

Reorder the terms:
w(-6 + w) = 16
(-6 * w + w * w) = 16
(-6w + w2) = 16

Solving
-6w + w2 = 16

Solving for variable 'w'.

Reorder the terms:
-16 + -6w + w2 = 16 + -16

Combine like terms: 16 + -16 = 0
-16 + -6w + w2 = 0

Factor a trinomial.
(-2 + -1w)(8 + -1w) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(8 + -1w)' equal to zero and attempt to solve: Simplifying 8 + -1w = 0 Solving 8 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1w = 0 + -8 -1w = 0 + -8 Combine like terms: 0 + -8 = -8 -1w = -8 Divide each side by '-1'. w = 8 Simplifying w = 8

Solution

w = {-2, 8}

See similar equations:

| w^2-6w=16 | | a^2=24-5a | | 3a^2(x)-2a^3-x^3=0 | | -2(5n+1)=16 | | -2(4n+6)=6 | | 3(x-6)=5 | | 2(4x^2+3x+1)=0 | | 8x^2+6x+2=0 | | 6(5z-1)-5(z+7)=18(z+1) | | 3n-6=n+8 | | 3x-3=-3x-3 | | 4x^2+16x=48 | | 5x^2=3+3x | | x+15=55 | | n+8=3n-6 | | x+8=3n-6 | | 4x+2=6x-10 | | 25-X=12 | | 3(5z-1)-5(z+8)=2(z+1) | | 12k-3(5+5)=52 | | 2x+x=150 | | 2xm=18 | | 6(3z-1)-3(z+5)=10(z+1) | | 1.17x=140 | | 72y+-54+9y= | | 7t-3t+4t=-25 | | -36-3y+18=-21y+72+12y | | 0.01=2x-0.19 | | -98=-14x | | -2k=9 | | 6=x+9 | | 47=x-71 |

Equations solver categories