If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying w2 + 12w = 144 Reorder the terms: 12w + w2 = 144 Solving 12w + w2 = 144 Solving for variable 'w'. Reorder the terms: -144 + 12w + w2 = 144 + -144 Combine like terms: 144 + -144 = 0 -144 + 12w + w2 = 0 Begin completing the square. Move the constant term to the right: Add '144' to each side of the equation. -144 + 12w + 144 + w2 = 0 + 144 Reorder the terms: -144 + 144 + 12w + w2 = 0 + 144 Combine like terms: -144 + 144 = 0 0 + 12w + w2 = 0 + 144 12w + w2 = 0 + 144 Combine like terms: 0 + 144 = 144 12w + w2 = 144 The w term is 12w. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12w + 36 + w2 = 144 + 36 Reorder the terms: 36 + 12w + w2 = 144 + 36 Combine like terms: 144 + 36 = 180 36 + 12w + w2 = 180 Factor a perfect square on the left side: (w + 6)(w + 6) = 180 Calculate the square root of the right side: 13.416407865 Break this problem into two subproblems by setting (w + 6) equal to 13.416407865 and -13.416407865.Subproblem 1
w + 6 = 13.416407865 Simplifying w + 6 = 13.416407865 Reorder the terms: 6 + w = 13.416407865 Solving 6 + w = 13.416407865 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + w = 13.416407865 + -6 Combine like terms: 6 + -6 = 0 0 + w = 13.416407865 + -6 w = 13.416407865 + -6 Combine like terms: 13.416407865 + -6 = 7.416407865 w = 7.416407865 Simplifying w = 7.416407865Subproblem 2
w + 6 = -13.416407865 Simplifying w + 6 = -13.416407865 Reorder the terms: 6 + w = -13.416407865 Solving 6 + w = -13.416407865 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + w = -13.416407865 + -6 Combine like terms: 6 + -6 = 0 0 + w = -13.416407865 + -6 w = -13.416407865 + -6 Combine like terms: -13.416407865 + -6 = -19.416407865 w = -19.416407865 Simplifying w = -19.416407865Solution
The solution to the problem is based on the solutions from the subproblems. w = {7.416407865, -19.416407865}
| x=9(180-x)+10 | | -v/5=7.2 | | 4n+0n-4=0 | | 28+3(2x-5)=1 | | 1/3*6/25 | | 3000(8)+28000=x | | -5/2m=-10 | | 3(2w+8)=12 | | 4/5*4/5 | | -6(3x-2)+7=-18x+19 | | 5/9*10/11 | | 0n+2-1n=5 | | cos(64)=15/x | | n(n-3)-7(3-n)=0 | | 12x+36=16x+80 | | x=9x^2-16 | | -1=5+n+2n | | 0.5*55=22x | | -x-10=15 | | -8=-4n+4+0n | | 6x-4=-44-4x | | x^2=10*21 | | 8x-9+3x=180 | | x^3+2x^2y-x-2y=0 | | 1-2n-2n=-15 | | a+a+a+a+b= | | 10y=4y*y-6 | | 7(z+3)-2=61 | | h=-16x^2+160 | | 10y=4y*y | | 3ay+2=2ay+6 | | 26=-4n-3n-2 |