2w^2-5w-55=0

Simple and best practice solution for 2w^2-5w-55=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-55=0 equation:


Simplifying
2w2 + -5w + -55 = 0

Reorder the terms:
-55 + -5w + 2w2 = 0

Solving
-55 + -5w + 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'.
-27.5 + -2.5w + w2 = 0

Move the constant term to the right:

Add '27.5' to each side of the equation.
-27.5 + -2.5w + 27.5 + w2 = 0 + 27.5

Reorder the terms:
-27.5 + 27.5 + -2.5w + w2 = 0 + 27.5

Combine like terms: -27.5 + 27.5 = 0.0
0.0 + -2.5w + w2 = 0 + 27.5
-2.5w + w2 = 0 + 27.5

Combine like terms: 0 + 27.5 = 27.5
-2.5w + w2 = 27.5

The w term is -2.5w.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5w + 1.5625 + w2 = 27.5 + 1.5625

Reorder the terms:
1.5625 + -2.5w + w2 = 27.5 + 1.5625

Combine like terms: 27.5 + 1.5625 = 29.0625
1.5625 + -2.5w + w2 = 29.0625

Factor a perfect square on the left side:
(w + -1.25)(w + -1.25) = 29.0625

Calculate the square root of the right side: 5.390964663

Break this problem into two subproblems by setting 
(w + -1.25) equal to 5.390964663 and -5.390964663.

Subproblem 1

w + -1.25 = 5.390964663 Simplifying w + -1.25 = 5.390964663 Reorder the terms: -1.25 + w = 5.390964663 Solving -1.25 + w = 5.390964663 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '1.25' to each side of the equation. -1.25 + 1.25 + w = 5.390964663 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + w = 5.390964663 + 1.25 w = 5.390964663 + 1.25 Combine like terms: 5.390964663 + 1.25 = 6.640964663 w = 6.640964663 Simplifying w = 6.640964663

Subproblem 2

w + -1.25 = -5.390964663 Simplifying w + -1.25 = -5.390964663 Reorder the terms: -1.25 + w = -5.390964663 Solving -1.25 + w = -5.390964663 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '1.25' to each side of the equation. -1.25 + 1.25 + w = -5.390964663 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + w = -5.390964663 + 1.25 w = -5.390964663 + 1.25 Combine like terms: -5.390964663 + 1.25 = -4.140964663 w = -4.140964663 Simplifying w = -4.140964663

Solution

The solution to the problem is based on the solutions from the subproblems. w = {6.640964663, -4.140964663}

See similar equations:

| 2X+25= | | -2L+3=5 | | 6xy(3xy)-2= | | 27=9+-3B | | 2x+14=-4 | | 9.7t=-67.9 | | 5(-4x+2)=30 | | -3(-4y+7)=-57 | | 9.7t=-68.9 | | -9=-9+0B | | 6xy(3xy)= | | 10=w | | 10-3y=10 | | 2x^4+x^3+2x^2+x=210 | | -16.3-a=24.2 | | 100*.08=104y | | 7n+22-9n=42 | | 2(3x-2)+6x=44 | | -5x+9=-40 | | (n+2)(n-2)=60 | | -4(-2n+7)=-68 | | 3x^2+3x^2-36x=0 | | -7z-0=16 | | 5x+35=5 | | -8x=142 | | -7-0=16 | | e^2x*e^5x=e^14 | | 4z-0=16 | | x^6-2x^5-35x^4=0 | | h=-16x^2+96x+4 | | -5n=-4+8 | | 6(n-1)=(n+1) |

Equations solver categories