If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4w2 + 1090w + -13020 = 0 Reorder the terms: -13020 + 1090w + 4w2 = 0 Solving -13020 + 1090w + 4w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '2'. 2(-6510 + 545w + 2w2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6510 + 545w + 2w2)' equal to zero and attempt to solve: Simplifying -6510 + 545w + 2w2 = 0 Solving -6510 + 545w + 2w2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -3255 + 272.5w + w2 = 0 Move the constant term to the right: Add '3255' to each side of the equation. -3255 + 272.5w + 3255 + w2 = 0 + 3255 Reorder the terms: -3255 + 3255 + 272.5w + w2 = 0 + 3255 Combine like terms: -3255 + 3255 = 0 0 + 272.5w + w2 = 0 + 3255 272.5w + w2 = 0 + 3255 Combine like terms: 0 + 3255 = 3255 272.5w + w2 = 3255 The w term is 272.5w. Take half its coefficient (136.25). Square it (18564.0625) and add it to both sides. Add '18564.0625' to each side of the equation. 272.5w + 18564.0625 + w2 = 3255 + 18564.0625 Reorder the terms: 18564.0625 + 272.5w + w2 = 3255 + 18564.0625 Combine like terms: 3255 + 18564.0625 = 21819.0625 18564.0625 + 272.5w + w2 = 21819.0625 Factor a perfect square on the left side: (w + 136.25)(w + 136.25) = 21819.0625 Calculate the square root of the right side: 147.712770267 Break this problem into two subproblems by setting (w + 136.25) equal to 147.712770267 and -147.712770267.Subproblem 1
w + 136.25 = 147.712770267 Simplifying w + 136.25 = 147.712770267 Reorder the terms: 136.25 + w = 147.712770267 Solving 136.25 + w = 147.712770267 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-136.25' to each side of the equation. 136.25 + -136.25 + w = 147.712770267 + -136.25 Combine like terms: 136.25 + -136.25 = 0.00 0.00 + w = 147.712770267 + -136.25 w = 147.712770267 + -136.25 Combine like terms: 147.712770267 + -136.25 = 11.462770267 w = 11.462770267 Simplifying w = 11.462770267Subproblem 2
w + 136.25 = -147.712770267 Simplifying w + 136.25 = -147.712770267 Reorder the terms: 136.25 + w = -147.712770267 Solving 136.25 + w = -147.712770267 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-136.25' to each side of the equation. 136.25 + -136.25 + w = -147.712770267 + -136.25 Combine like terms: 136.25 + -136.25 = 0.00 0.00 + w = -147.712770267 + -136.25 w = -147.712770267 + -136.25 Combine like terms: -147.712770267 + -136.25 = -283.962770267 w = -283.962770267 Simplifying w = -283.962770267Solution
The solution to the problem is based on the solutions from the subproblems. w = {11.462770267, -283.962770267}Solution
w = {11.462770267, -283.962770267}
| 3r^3+18r^2=81r | | 10+3x=31 | | 68x+65x= | | 68x+68x= | | 20x+15=17+3 | | .75x^2+.5x-.5=0 | | 5x-1=5+3x | | x(3x-4)=-1 | | 3(3x-4)=-1 | | 19+19=5x-7 | | 19-5x-7= | | -5(4z-1)-4(z+9)=2(z+1) | | 9+6x=51 | | 14x+5+35=180 | | Y=2x^2+3x-2 | | 14x+5+35=360 | | 14x+5+35= | | -5(4z-1)-3(z+5)=2(z+1) | | X+13+21=180 | | X+13+21= | | 2y^2+8y-6=y^2+6y+9 | | X+15=x+15 | | 80+11x-10=180 | | -12-3x=0 | | 80+11x-10= | | 180=x+60 | | 3x-4x^2=-5 | | 4x=6*14 | | 2y^2+8y-6=y^2+9 | | 0=x^2-4x+1 | | 10b-4=3(b-15) | | 0=6x^2+24x+17 |