2w^2-5w-493=0

Simple and best practice solution for 2w^2-5w-493=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 2w^2-5w-493=0 equation: 


Simplifying
2w2 + -5w + -493 = 0

Reorder the terms:
-493 + -5w + 2w2 = 0

Solving
-493 + -5w + 2w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-29 + -2w)(17 + -1w) = 0


Subproblem 1
Set the factor '(-29 + -2w)' equal to zero and attempt to solve:

Simplifying
-29 + -2w = 0

Solving
-29 + -2w = 0

Move all terms containing w to the left, all other terms to the right.

Add '29' to each side of the equation.
-29 + 29 + -2w = 0 + 29

Combine like terms: -29 + 29 = 0
0 + -2w = 0 + 29
-2w = 0 + 29

Combine like terms: 0 + 29 = 29
-2w = 29

Divide each side by '-2'.
w = -14.5

Simplifying
w = -14.5

Subproblem 2
Set the factor '(17 + -1w)' equal to zero and attempt to solve:

Simplifying
17 + -1w = 0

Solving
17 + -1w = 0

Move all terms containing w to the left, all other terms to the right.

Add '-17' to each side of the equation.
17 + -17 + -1w = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1w = 0 + -17
-1w = 0 + -17

Combine like terms: 0 + -17 = -17
-1w = -17

Divide each side by '-1'.
w = 17

Simplifying
w = 17
Solution
w = {-14.5, 17}

See similar equations:

| -230=-23X | | y*ln(y)-y=(9/2)X^2 | | 17+34= | | n/3=16=33 | | x^2-2x=x(x+5) | | (3y+4)(2y+9)= | | 16c-32= | | -6(t+1)-t-9=-7(t+5)+20 | | W*1.5+2.5=7 | | -3x+3=5x+59 | | -1.2x=7 | | W-9=2/3 | | -7x-7(-3x-7)=-35 | | (X-2)(2x+7)= | | (b(b+12))=189 | | 0.45+25d=0.25+40d | | 5/2x4.2 | | 3+(-3.6)=4.2 | | 3(x+6)+6x=9x-18 | | 15.6+6.5+5.2+x=42.5 | | 2x+14=76 | | 80+m=90 | | 8m=35 | | -12-21=-11a | | 2w^2-5w-273=0 | | cy+2x=3 | | 13=3+7c | | 3x^4-14x^2+15=0 | | -3x-3(-7x+14)=174 | | 8p-16/8 | | X^2-4ax+2x-8a=0 | | -(x+2)-3=5 |

Equations solver categories