6w^2-11w-21=0

Simple and best practice solution for 6w^2-11w-21=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 6w^2-11w-21=0 equation:


Simplifying
6w2 + -11w + -21 = 0

Reorder the terms:
-21 + -11w + 6w2 = 0

Solving
-21 + -11w + 6w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-7 + -6w)(3 + -1w) = 0

Subproblem 1

Set the factor '(-7 + -6w)' equal to zero and attempt to solve: Simplifying -7 + -6w = 0 Solving -7 + -6w = 0 Move all terms containing w to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -6w = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -6w = 0 + 7 -6w = 0 + 7 Combine like terms: 0 + 7 = 7 -6w = 7 Divide each side by '-6'. w = -1.166666667 Simplifying w = -1.166666667

Subproblem 2

Set the factor '(3 + -1w)' equal to zero and attempt to solve: Simplifying 3 + -1w = 0 Solving 3 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1w = 0 + -3 -1w = 0 + -3 Combine like terms: 0 + -3 = -3 -1w = -3 Divide each side by '-1'. w = 3 Simplifying w = 3

Solution

w = {-1.166666667, 3}

See similar equations:

| 3x+1.1=9.2 | | 4.905*x^2-20x=0 | | 5x-2x-2=13 | | -126=9b | | 2x+15=3+7x-8 | | 2x+3-4=17 | | 75=1ry | | 2-5x-9=18 | | sqrt(10-x)=x-4 | | 7-3.5=38 | | -5.1=2.9-4y | | 4z+2=z-4 | | 5+2(x+9)=-17 | | 20x-4.905x^2=0 | | 4(x-7)=64 | | -1=-17+p | | -2(2-4x)+2x-6=3x-1 | | 3800=600 | | x^2-2x-210=0 | | sqrt(2x+1)=6 | | 46=2(9+w) | | -6+8r=-(6-8r) | | 7x-(2x-11)=41 | | B=zs+y | | 8y+12=2y+114 | | 5(x-3)=2(2x+1) | | 3k+5=18 | | S^2-6.5s+6.0625=0 | | 6x-(-3)=(-4)-x | | 9x=4x-80 | | 5k+5-6=6 | | 14x+5=-(8x-3)+8 |

Equations solver categories