If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 196 = 2w2 + -6w + -12 Reorder the terms: 196 = -12 + -6w + 2w2 Solving 196 = -12 + -6w + 2w2 Solving for variable 'w'. Combine like terms: 196 + 12 = 208 208 + 6w + -2w2 = -12 + -6w + 2w2 + 12 + 6w + -2w2 Reorder the terms: 208 + 6w + -2w2 = -12 + 12 + -6w + 6w + 2w2 + -2w2 Combine like terms: -12 + 12 = 0 208 + 6w + -2w2 = 0 + -6w + 6w + 2w2 + -2w2 208 + 6w + -2w2 = -6w + 6w + 2w2 + -2w2 Combine like terms: -6w + 6w = 0 208 + 6w + -2w2 = 0 + 2w2 + -2w2 208 + 6w + -2w2 = 2w2 + -2w2 Combine like terms: 2w2 + -2w2 = 0 208 + 6w + -2w2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(104 + 3w + -1w2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(104 + 3w + -1w2)' equal to zero and attempt to solve: Simplifying 104 + 3w + -1w2 = 0 Solving 104 + 3w + -1w2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -104 + -3w + w2 = 0 Move the constant term to the right: Add '104' to each side of the equation. -104 + -3w + 104 + w2 = 0 + 104 Reorder the terms: -104 + 104 + -3w + w2 = 0 + 104 Combine like terms: -104 + 104 = 0 0 + -3w + w2 = 0 + 104 -3w + w2 = 0 + 104 Combine like terms: 0 + 104 = 104 -3w + w2 = 104 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 = 104 + 2.25 Reorder the terms: 2.25 + -3w + w2 = 104 + 2.25 Combine like terms: 104 + 2.25 = 106.25 2.25 + -3w + w2 = 106.25 Factor a perfect square on the left side: (w + -1.5)(w + -1.5) = 106.25 Calculate the square root of the right side: 10.307764064 Break this problem into two subproblems by setting (w + -1.5) equal to 10.307764064 and -10.307764064.Subproblem 1
w + -1.5 = 10.307764064 Simplifying w + -1.5 = 10.307764064 Reorder the terms: -1.5 + w = 10.307764064 Solving -1.5 + w = 10.307764064 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 = 10.307764064 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + w = 10.307764064 + 1.5 w = 10.307764064 + 1.5 Combine like terms: 10.307764064 + 1.5 = 11.807764064 w = 11.807764064 Simplifying w = 11.807764064Subproblem 2
w + -1.5 = -10.307764064 Simplifying w + -1.5 = -10.307764064 Reorder the terms: -1.5 + w = -10.307764064 Solving -1.5 + w = -10.307764064 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 = -10.307764064 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + w = -10.307764064 + 1.5 w = -10.307764064 + 1.5 Combine like terms: -10.307764064 + 1.5 = -8.807764064 w = -8.807764064 Simplifying w = -8.807764064Solution
The solution to the problem is based on the solutions from the subproblems. w = {11.807764064, -8.807764064}Solution
w = {11.807764064, -8.807764064}
| 2(2y-1)=-25 | | 1/2(12n-2)=5n | | 6(y+8)=-5y+26 | | 4(-3x-1)+22=-6x-3(2x-6) | | 5/6/11 | | .05n+.10d=2.35 | | 9y-7-2y=y+35 | | 27=n3/8 | | 5/22*1/2*11/15 | | -7+2X+2X=1-4X | | 0.07x+0.11x=3.6(1-x) | | 12x+2x-5=x-3 | | 2m^2-7m=0 | | 19-0.7k=19 | | -8-m=-5 | | 27=12h | | -4(2+5x)=-148 | | 6x-1=5x-3 | | 3(-4A+4)=48 | | 27/n=12 | | x^2-1=x^3-3x^2+3x-1 | | 27=12n | | x^2+11=20 | | 3x+27x=17 | | 27*12=n | | 25=n | | 27/12=n | | 1/2x+12 | | 190=16t^2-110t-190 | | 1/2+3/y=2/8g-1/2 | | 2(x-7)=-10 | | -9x+4y=-56 |