W^2+3W-5=0

Simple and best practice solution for W^2+3W-5=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 W^2+3W-5=0 equation:


Simplifying
W2 + 3W + -5 = 0

Reorder the terms:
-5 + 3W + W2 = 0

Solving
-5 + 3W + W2 = 0

Solving for variable 'W'.

Begin completing the square.

Move the constant term to the right:

Add '5' to each side of the equation.
-5 + 3W + 5 + W2 = 0 + 5

Reorder the terms:
-5 + 5 + 3W + W2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 3W + W2 = 0 + 5
3W + W2 = 0 + 5

Combine like terms: 0 + 5 = 5
3W + W2 = 5

The W term is 3W.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3W + 2.25 + W2 = 5 + 2.25

Reorder the terms:
2.25 + 3W + W2 = 5 + 2.25

Combine like terms: 5 + 2.25 = 7.25
2.25 + 3W + W2 = 7.25

Factor a perfect square on the left side:
(W + 1.5)(W + 1.5) = 7.25

Calculate the square root of the right side: 2.692582404

Break this problem into two subproblems by setting 
(W + 1.5) equal to 2.692582404 and -2.692582404.

Subproblem 1

W + 1.5 = 2.692582404 Simplifying W + 1.5 = 2.692582404 Reorder the terms: 1.5 + W = 2.692582404 Solving 1.5 + W = 2.692582404 Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + W = 2.692582404 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + W = 2.692582404 + -1.5 W = 2.692582404 + -1.5 Combine like terms: 2.692582404 + -1.5 = 1.192582404 W = 1.192582404 Simplifying W = 1.192582404

Subproblem 2

W + 1.5 = -2.692582404 Simplifying W + 1.5 = -2.692582404 Reorder the terms: 1.5 + W = -2.692582404 Solving 1.5 + W = -2.692582404 Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + W = -2.692582404 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + W = -2.692582404 + -1.5 W = -2.692582404 + -1.5 Combine like terms: -2.692582404 + -1.5 = -4.192582404 W = -4.192582404 Simplifying W = -4.192582404

Solution

The solution to the problem is based on the solutions from the subproblems. W = {1.192582404, -4.192582404}

See similar equations:

| -18=19n-16n | | 3y-9+y+57=8y+50-6y | | 10b+23b=35 | | X^2-10X-40=0 | | 10b+45a=55 | | 3r=10-7 | | 3(c-3)=4(c-6) | | 10b+-45a=67 | | 9z-22=-54+5z | | 6-5n+3n=30-56 | | 5p-2=-16+7p | | 13+23=3x-23+23 | | -21+4y+2=2(3y-3)-5 | | 6x^2=20 | | 5p-2=-16+p | | x^4-3x^2=54 | | 3p+p-7=5 | | -7(2p+2)-30=4(3p+2) | | 4a-1=-5a+8 | | 5.6+1.5n=1.70 | | 7(c-5)+6=5+c-34 | | 7x-9=2x+2 | | 4y-1+y+28=6y+30-4y | | 9(d+7)=9(d-4) | | 2(3-7x)+3x=3(5+2x) | | 9-9m+5m=10-89 | | 8x=2x+12 | | a*3.5=14 | | W^2+7w+6=0 | | 5(x+9)-27= | | -4x-6=18 | | 3x-5y=-15 |

Equations solver categories