25W^2-50W-162=0

Simple and best practice solution for 25W^2-50W-162=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 25W^2-50W-162=0 equation:


Simplifying
25W2 + -50W + -162 = 0

Reorder the terms:
-162 + -50W + 25W2 = 0

Solving
-162 + -50W + 25W2 = 0

Solving for variable 'W'.

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

Divide each side by '25'.
-6.48 + -2W + W2 = 0

Move the constant term to the right:

Add '6.48' to each side of the equation.
-6.48 + -2W + 6.48 + W2 = 0 + 6.48

Reorder the terms:
-6.48 + 6.48 + -2W + W2 = 0 + 6.48

Combine like terms: -6.48 + 6.48 = 0.00
0.00 + -2W + W2 = 0 + 6.48
-2W + W2 = 0 + 6.48

Combine like terms: 0 + 6.48 = 6.48
-2W + W2 = 6.48

The W term is -2W.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2W + 1 + W2 = 6.48 + 1

Reorder the terms:
1 + -2W + W2 = 6.48 + 1

Combine like terms: 6.48 + 1 = 7.48
1 + -2W + W2 = 7.48

Factor a perfect square on the left side:
(W + -1)(W + -1) = 7.48

Calculate the square root of the right side: 2.734958866

Break this problem into two subproblems by setting 
(W + -1) equal to 2.734958866 and -2.734958866.

Subproblem 1

W + -1 = 2.734958866 Simplifying W + -1 = 2.734958866 Reorder the terms: -1 + W = 2.734958866 Solving -1 + W = 2.734958866 Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + W = 2.734958866 + 1 Combine like terms: -1 + 1 = 0 0 + W = 2.734958866 + 1 W = 2.734958866 + 1 Combine like terms: 2.734958866 + 1 = 3.734958866 W = 3.734958866 Simplifying W = 3.734958866

Subproblem 2

W + -1 = -2.734958866 Simplifying W + -1 = -2.734958866 Reorder the terms: -1 + W = -2.734958866 Solving -1 + W = -2.734958866 Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + W = -2.734958866 + 1 Combine like terms: -1 + 1 = 0 0 + W = -2.734958866 + 1 W = -2.734958866 + 1 Combine like terms: -2.734958866 + 1 = -1.734958866 W = -1.734958866 Simplifying W = -1.734958866

Solution

The solution to the problem is based on the solutions from the subproblems. W = {3.734958866, -1.734958866}

See similar equations:

| 2x^2+12x-85=0 | | 1.5*6+7= | | (2w-9)(3-w)=0 | | 3p^3m^4= | | -18r-6s= | | -57=12+3r | | 7/34= | | 1.5mg=g | | 32+-5v=3v+8 | | 4a+12+41= | | 2x+8=15x-5 | | 6x-3(-2x-1)=-33 | | 32-5v=3v | | 1.8*4-2= | | 4x+5=6x+15 | | 1.8*4= | | 2x+6(2x+13)=176 | | 12y(24x)=86 | | 6b^2-13bZ+3=-3 | | 4x-7=6x | | (X-1)(2x^2+x+1)=0 | | x^3+1=63 | | 9x+7=4x-2 | | 9-7= | | 5a^2+14a+8= | | A+a+a=ba | | 4(8-8n)=-160 | | 15-3x=2x+7 | | Y^2-36= | | X^2-80x+225=0 | | 3(y-2)-y=6 | | 6x^2-3x+15=0 |

Equations solver categories