8w^2+2w-21=0

Simple and best practice solution for 8w^2+2w-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 8w^2+2w-21=0 equation:


Simplifying
8w2 + 2w + -21 = 0

Reorder the terms:
-21 + 2w + 8w2 = 0

Solving
-21 + 2w + 8w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-7 + -4w)(3 + -2w) = 0

Subproblem 1

Set the factor '(-7 + -4w)' equal to zero and attempt to solve: Simplifying -7 + -4w = 0 Solving -7 + -4w = 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 + -4w = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -4w = 0 + 7 -4w = 0 + 7 Combine like terms: 0 + 7 = 7 -4w = 7 Divide each side by '-4'. w = -1.75 Simplifying w = -1.75

Subproblem 2

Set the factor '(3 + -2w)' equal to zero and attempt to solve: Simplifying 3 + -2w = 0 Solving 3 + -2w = 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 + -2w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2w = 0 + -3 -2w = 0 + -3 Combine like terms: 0 + -3 = -3 -2w = -3 Divide each side by '-2'. w = 1.5 Simplifying w = 1.5

Solution

w = {-1.75, 1.5}

See similar equations:

| 4x^3-9x^2(3)=0 | | -4.2= | | y-3=3x-6 | | m^2+3m-20= | | 4(3c-2)+5c=43 | | 15-28i=3x+(4y)i | | z*4+11=-3 | | -4y-15=21+2y | | 13x-7=11x+11 | | 3a-4=8a+6 | | S=180n-360*n | | 10n-3=57 | | 18y+11=15y+17 | | 8(h-1)=64+4+2h | | 4y=50+2d | | 7c-4=10c+14 | | 120+x=x+70 | | y-5=-.5x-(-2) | | 14+9z+4+3z-z=51 | | p^2+5p-10=0 | | 7208-220x=0. | | 5p-5=-5p-65 | | 8g-3(7g+6)= | | 2p+7whenp=2 | | 320+80x=0. | | 6z+10=3 | | 2y+7+8y-37=20 | | y-3=4x-2 | | 2.5(x+2)+4.5+1.5(x+3)=15 | | 5(n-10)=125+2n | | 15=-5-15-8u | | -7w+4(w-5)=-38 |

Equations solver categories