2w^2+0.279w-0.0467=0

Simple and best practice solution for 2w^2+0.279w-0.0467=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+0.279w-0.0467=0 equation:


Simplifying
2w2 + 0.279w + -0.0467 = 0

Reorder the terms:
-0.0467 + 0.279w + 2w2 = 0

Solving
-0.0467 + 0.279w + 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'.
-0.02335 + 0.1395w + w2 = 0

Move the constant term to the right:

Add '0.02335' to each side of the equation.
-0.02335 + 0.1395w + 0.02335 + w2 = 0 + 0.02335

Reorder the terms:
-0.02335 + 0.02335 + 0.1395w + w2 = 0 + 0.02335

Combine like terms: -0.02335 + 0.02335 = 0.00000
0.00000 + 0.1395w + w2 = 0 + 0.02335
0.1395w + w2 = 0 + 0.02335

Combine like terms: 0 + 0.02335 = 0.02335
0.1395w + w2 = 0.02335

The w term is 0.1395w.  Take half its coefficient (0.06975).
Square it (0.0048650625) and add it to both sides.

Add '0.0048650625' to each side of the equation.
0.1395w + 0.0048650625 + w2 = 0.02335 + 0.0048650625

Reorder the terms:
0.0048650625 + 0.1395w + w2 = 0.02335 + 0.0048650625

Combine like terms: 0.02335 + 0.0048650625 = 0.0282150625
0.0048650625 + 0.1395w + w2 = 0.0282150625

Factor a perfect square on the left side:
(w + 0.06975)(w + 0.06975) = 0.0282150625

Calculate the square root of the right side: 0.167973398

Break this problem into two subproblems by setting 
(w + 0.06975) equal to 0.167973398 and -0.167973398.

Subproblem 1

w + 0.06975 = 0.167973398 Simplifying w + 0.06975 = 0.167973398 Reorder the terms: 0.06975 + w = 0.167973398 Solving 0.06975 + w = 0.167973398 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.06975' to each side of the equation. 0.06975 + -0.06975 + w = 0.167973398 + -0.06975 Combine like terms: 0.06975 + -0.06975 = 0.00000 0.00000 + w = 0.167973398 + -0.06975 w = 0.167973398 + -0.06975 Combine like terms: 0.167973398 + -0.06975 = 0.098223398 w = 0.098223398 Simplifying w = 0.098223398

Subproblem 2

w + 0.06975 = -0.167973398 Simplifying w + 0.06975 = -0.167973398 Reorder the terms: 0.06975 + w = -0.167973398 Solving 0.06975 + w = -0.167973398 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.06975' to each side of the equation. 0.06975 + -0.06975 + w = -0.167973398 + -0.06975 Combine like terms: 0.06975 + -0.06975 = 0.00000 0.00000 + w = -0.167973398 + -0.06975 w = -0.167973398 + -0.06975 Combine like terms: -0.167973398 + -0.06975 = -0.237723398 w = -0.237723398 Simplifying w = -0.237723398

Solution

The solution to the problem is based on the solutions from the subproblems. w = {0.098223398, -0.237723398}

See similar equations:

| 3x+x=480 | | 3x-9-3x=0 | | 18x^2+24=0 | | x^2-y^2+16=0 | | 11=4-4n-3n | | x+53+x=803 | | 0.75c=24 | | 5z-12-2z=-40-8z-9 | | z+2+x=10 | | 2180000=-200r^2+92000r-840000 | | 1+2n+3n=11 | | 48=9x+12 | | 3(4x-3)+1=5x-22 | | -29=-2n-5-4n | | 2x+3-2=5 | | .75c=24 | | 0=-200r^2+92000r-8400000 | | -1=-2x/-4 | | 4+1n+4n=24 | | 2x-88=n/6 | | 13=4n-2+1n | | 10-x=x+18 | | 20+5v=3(4v-5) | | 20.25+x^2=100 | | 75=2.5m | | -16+8x=4(7x+1) | | 4h-9=8h+15 | | c=100+25n | | -6(v+6)=-84 | | 2(3x-2)=18 | | X(X-6)=24 | | 133=7(1+6n) |

Equations solver categories