If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2w2 + 3w + -99 = 0 Reorder the terms: -99 + 3w + 2w2 = 0 Solving -99 + 3w + 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'. -49.5 + 1.5w + w2 = 0 Move the constant term to the right: Add '49.5' to each side of the equation. -49.5 + 1.5w + 49.5 + w2 = 0 + 49.5 Reorder the terms: -49.5 + 49.5 + 1.5w + w2 = 0 + 49.5 Combine like terms: -49.5 + 49.5 = 0.0 0.0 + 1.5w + w2 = 0 + 49.5 1.5w + w2 = 0 + 49.5 Combine like terms: 0 + 49.5 = 49.5 1.5w + w2 = 49.5 The w term is 1.5w. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5w + 0.5625 + w2 = 49.5 + 0.5625 Reorder the terms: 0.5625 + 1.5w + w2 = 49.5 + 0.5625 Combine like terms: 49.5 + 0.5625 = 50.0625 0.5625 + 1.5w + w2 = 50.0625 Factor a perfect square on the left side: (w + 0.75)(w + 0.75) = 50.0625 Calculate the square root of the right side: 7.075485849 Break this problem into two subproblems by setting (w + 0.75) equal to 7.075485849 and -7.075485849.Subproblem 1
w + 0.75 = 7.075485849 Simplifying w + 0.75 = 7.075485849 Reorder the terms: 0.75 + w = 7.075485849 Solving 0.75 + w = 7.075485849 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + w = 7.075485849 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + w = 7.075485849 + -0.75 w = 7.075485849 + -0.75 Combine like terms: 7.075485849 + -0.75 = 6.325485849 w = 6.325485849 Simplifying w = 6.325485849Subproblem 2
w + 0.75 = -7.075485849 Simplifying w + 0.75 = -7.075485849 Reorder the terms: 0.75 + w = -7.075485849 Solving 0.75 + w = -7.075485849 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + w = -7.075485849 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + w = -7.075485849 + -0.75 w = -7.075485849 + -0.75 Combine like terms: -7.075485849 + -0.75 = -7.825485849 w = -7.825485849 Simplifying w = -7.825485849Solution
The solution to the problem is based on the solutions from the subproblems. w = {6.325485849, -7.825485849}
| 3/10z=12 | | 6n+6(4n-6)=24 | | 6e-3=8e+29 | | 3y+7=14+3y | | -33=-4y+6y | | 2(-4n-2)=-4-8n | | 4-2i=3-3i | | 2a-8=-9+7 | | U-8.49=4.1 | | 4-21=3-31 | | -9r-5r=34 | | 4k+20=-2k+8 | | 12n+1n=3 | | 4=w/15 | | -x-13=7+4x | | 1/2n+16=4-2/3 | | 4x+13=nx+13 | | 6n=5x+2 | | (2x^2+14x+24)/(x+5) | | 18-n=5n | | V-6.22=8.96 | | 2+7x=32+32 | | d=2(46)2 | | =18-(3-10g) | | 2(4-3t)-(-3)+2= | | ((x/4)+(4*x))/(x/7)=56.7 | | T/45+2/11=-4/11 | | sqrt(363ab^5c^7)= | | 16=d-12/4 | | 2(3x-10)=4 | | 6x+21=16x-51 | | 4x+9=18- |