2w^2-w-60=0

Simple and best practice solution for 2w^2-w-60=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-w-60=0 equation:


Simplifying
2w2 + -1w + -60 = 0

Reorder the terms:
-60 + -1w + 2w2 = 0

Solving
-60 + -1w + 2w2 = 0

Solving for variable 'w'.

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
-30 + -0.5w + w2 = 0

Move the constant term to the right:

Add '30' to each side of the equation.
-30 + -0.5w + 30 + w2 = 0 + 30

Reorder the terms:
-30 + 30 + -0.5w + w2 = 0 + 30

Combine like terms: -30 + 30 = 0
0 + -0.5w + w2 = 0 + 30
-0.5w + w2 = 0 + 30

Combine like terms: 0 + 30 = 30
-0.5w + w2 = 30

The w term is -0.5w.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5w + 0.0625 + w2 = 30 + 0.0625

Reorder the terms:
0.0625 + -0.5w + w2 = 30 + 0.0625

Combine like terms: 30 + 0.0625 = 30.0625
0.0625 + -0.5w + w2 = 30.0625

Factor a perfect square on the left side:
(w + -0.25)(w + -0.25) = 30.0625

Calculate the square root of the right side: 5.48292805

Break this problem into two subproblems by setting 
(w + -0.25) equal to 5.48292805 and -5.48292805.

Subproblem 1

w + -0.25 = 5.48292805 Simplifying w + -0.25 = 5.48292805 Reorder the terms: -0.25 + w = 5.48292805 Solving -0.25 + w = 5.48292805 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '0.25' to each side of the equation. -0.25 + 0.25 + w = 5.48292805 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + w = 5.48292805 + 0.25 w = 5.48292805 + 0.25 Combine like terms: 5.48292805 + 0.25 = 5.73292805 w = 5.73292805 Simplifying w = 5.73292805

Subproblem 2

w + -0.25 = -5.48292805 Simplifying w + -0.25 = -5.48292805 Reorder the terms: -0.25 + w = -5.48292805 Solving -0.25 + w = -5.48292805 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '0.25' to each side of the equation. -0.25 + 0.25 + w = -5.48292805 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + w = -5.48292805 + 0.25 w = -5.48292805 + 0.25 Combine like terms: -5.48292805 + 0.25 = -5.23292805 w = -5.23292805 Simplifying w = -5.23292805

Solution

The solution to the problem is based on the solutions from the subproblems. w = {5.73292805, -5.23292805}

See similar equations:

| 3(x+5)=2(2x-13)+2x | | 19=11p-3-6p | | -6p-108=0 | | ln(x^4)=0.7 | | 5y+2=3 | | 2(x+5)=4(2x-3) | | 2a+b=p | | 2w^2-5w-144=0 | | 49s^2+69s+25=0 | | 2x^2-5w-114=0 | | 7x-6+4x+5= | | 5x^2+63x-26=0 | | 5x^2+24-48=0 | | 27x^2-30x-25=0 | | -2=11+62 | | -3m+2(2+2m)=-10 | | 5(3a-4)-4a=11(a-6)-7 | | 32--(5-6)= | | 4(x-3)=2(x)+8 | | -15y-8=52 | | 4w^2+20w+21=0 | | -6p+7=-5 | | -7(1-3x)=182 | | 7(6x-2)=-392 | | -5m-4+-3=13 | | 3z+6=27-4z | | 9(3z-1)=21+21 | | 8x+2=2x+14 | | 2x/5+3-4x/5-=1/5 | | 7(x+2)+58=-2x | | 4u^2-3u-4=0 | | 8y=5xfory |

Equations solver categories