If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying w2 + -2w + -108 = 0 Reorder the terms: -108 + -2w + w2 = 0 Solving -108 + -2w + w2 = 0 Solving for variable 'w'. Begin completing the square. Move the constant term to the right: Add '108' to each side of the equation. -108 + -2w + 108 + w2 = 0 + 108 Reorder the terms: -108 + 108 + -2w + w2 = 0 + 108 Combine like terms: -108 + 108 = 0 0 + -2w + w2 = 0 + 108 -2w + w2 = 0 + 108 Combine like terms: 0 + 108 = 108 -2w + w2 = 108 The w term is -2w. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2w + 1 + w2 = 108 + 1 Reorder the terms: 1 + -2w + w2 = 108 + 1 Combine like terms: 108 + 1 = 109 1 + -2w + w2 = 109 Factor a perfect square on the left side: (w + -1)(w + -1) = 109 Calculate the square root of the right side: 10.440306509 Break this problem into two subproblems by setting (w + -1) equal to 10.440306509 and -10.440306509.Subproblem 1
w + -1 = 10.440306509 Simplifying w + -1 = 10.440306509 Reorder the terms: -1 + w = 10.440306509 Solving -1 + w = 10.440306509 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + w = 10.440306509 + 1 Combine like terms: -1 + 1 = 0 0 + w = 10.440306509 + 1 w = 10.440306509 + 1 Combine like terms: 10.440306509 + 1 = 11.440306509 w = 11.440306509 Simplifying w = 11.440306509Subproblem 2
w + -1 = -10.440306509 Simplifying w + -1 = -10.440306509 Reorder the terms: -1 + w = -10.440306509 Solving -1 + w = -10.440306509 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + w = -10.440306509 + 1 Combine like terms: -1 + 1 = 0 0 + w = -10.440306509 + 1 w = -10.440306509 + 1 Combine like terms: -10.440306509 + 1 = -9.440306509 w = -9.440306509 Simplifying w = -9.440306509Solution
The solution to the problem is based on the solutions from the subproblems. w = {11.440306509, -9.440306509}
| 3.32+(-8.67)= | | x-3=58 | | x=x^2+4x-11 | | 4x^2+4x-120=0 | | 7x^2-18x=0 | | .75x^2+5x-15=0 | | -5x-5=-15 | | 7-2x=23 | | s=3(4+6) | | 8m^3+n^3=0 | | 25n=30 | | 6x^2-22x-8=0 | | -xy^5(4xy^2+3xy-7x)= | | -4x=-18 | | 12n-6=54 | | 10n+6=96 | | n+2=40 | | 4a^2b^3+10ab^5=0 | | -5(t-2)-(t+8)=9 | | n=0.03(2002)-58.49 | | 5(3x-25)=200 | | n=0.03x-58.49 | | 2u-17u^2-9=0 | | 2x+3x=x | | y(9+y)=4(2y+5) | | -3X-2=-10X+5 | | V=24000-300t(t) | | 6(3z-1)-5(z+2)=9(z+1) | | 4*1*2+q=91*2 | | V=24000-300t | | -3X-2=10X+5 | | 3x+(5-7)=13 |