If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying n2 + -49 + 3n + -441 = 0 Reorder the terms: -49 + -441 + 3n + n2 = 0 Combine like terms: -49 + -441 = -490 -490 + 3n + n2 = 0 Solving -490 + 3n + n2 = 0 Solving for variable 'n'. Begin completing the square. Move the constant term to the right: Add '490' to each side of the equation. -490 + 3n + 490 + n2 = 0 + 490 Reorder the terms: -490 + 490 + 3n + n2 = 0 + 490 Combine like terms: -490 + 490 = 0 0 + 3n + n2 = 0 + 490 3n + n2 = 0 + 490 Combine like terms: 0 + 490 = 490 3n + n2 = 490 The n term is 3n. 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. 3n + 2.25 + n2 = 490 + 2.25 Reorder the terms: 2.25 + 3n + n2 = 490 + 2.25 Combine like terms: 490 + 2.25 = 492.25 2.25 + 3n + n2 = 492.25 Factor a perfect square on the left side: (n + 1.5)(n + 1.5) = 492.25 Calculate the square root of the right side: 22.186707732 Break this problem into two subproblems by setting (n + 1.5) equal to 22.186707732 and -22.186707732.Subproblem 1
n + 1.5 = 22.186707732 Simplifying n + 1.5 = 22.186707732 Reorder the terms: 1.5 + n = 22.186707732 Solving 1.5 + n = 22.186707732 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + n = 22.186707732 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + n = 22.186707732 + -1.5 n = 22.186707732 + -1.5 Combine like terms: 22.186707732 + -1.5 = 20.686707732 n = 20.686707732 Simplifying n = 20.686707732Subproblem 2
n + 1.5 = -22.186707732 Simplifying n + 1.5 = -22.186707732 Reorder the terms: 1.5 + n = -22.186707732 Solving 1.5 + n = -22.186707732 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + n = -22.186707732 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + n = -22.186707732 + -1.5 n = -22.186707732 + -1.5 Combine like terms: -22.186707732 + -1.5 = -23.686707732 n = -23.686707732 Simplifying n = -23.686707732Solution
The solution to the problem is based on the solutions from the subproblems. n = {20.686707732, -23.686707732}
| 4+10-3m+m^2=0 | | 5-y/2=4 | | 10-5r=-15 | | y=7x+290 | | -25b^2-625=0 | | 4n+8+n^2+9=0 | | 46-3(x+10)=5x+20 | | 90-n+n^2=0 | | -6-20y=-14 | | 3x+8=-6x+116 | | 4c^3-36c=0 | | ln(2+x)=2.5 | | 7875=x^2+29x | | 9n+n^2=0 | | y=-4x+8x^2 | | x^2-x-61=0 | | 3(x+3)=2x-6 | | -3+46x+135=180 | | -45+14n+n^2=0 | | a-3+(-2a+1)=-4+6 | | -8x-2=6x+4 | | y=2(4x^2-2x) | | x+975=5.456 | | 5w+w=74 | | 6(u+3)+6u=-18 | | 10m^2=-8 | | 798+x=2.690 | | -12=9a+9+6 | | x^3-5=-7 | | 8(y-5)-5y=-37 | | log(3)(2x-7)=log(3)(3x+38) | | 690+x=820 |