If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying n2 + 49n + -498 = 0 Reorder the terms: -498 + 49n + n2 = 0 Solving -498 + 49n + n2 = 0 Solving for variable 'n'. Begin completing the square. Move the constant term to the right: Add '498' to each side of the equation. -498 + 49n + 498 + n2 = 0 + 498 Reorder the terms: -498 + 498 + 49n + n2 = 0 + 498 Combine like terms: -498 + 498 = 0 0 + 49n + n2 = 0 + 498 49n + n2 = 0 + 498 Combine like terms: 0 + 498 = 498 49n + n2 = 498 The n term is 49n. Take half its coefficient (24.5). Square it (600.25) and add it to both sides. Add '600.25' to each side of the equation. 49n + 600.25 + n2 = 498 + 600.25 Reorder the terms: 600.25 + 49n + n2 = 498 + 600.25 Combine like terms: 498 + 600.25 = 1098.25 600.25 + 49n + n2 = 1098.25 Factor a perfect square on the left side: (n + 24.5)(n + 24.5) = 1098.25 Calculate the square root of the right side: 33.13985516 Break this problem into two subproblems by setting (n + 24.5) equal to 33.13985516 and -33.13985516.Subproblem 1
n + 24.5 = 33.13985516 Simplifying n + 24.5 = 33.13985516 Reorder the terms: 24.5 + n = 33.13985516 Solving 24.5 + n = 33.13985516 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24.5' to each side of the equation. 24.5 + -24.5 + n = 33.13985516 + -24.5 Combine like terms: 24.5 + -24.5 = 0.0 0.0 + n = 33.13985516 + -24.5 n = 33.13985516 + -24.5 Combine like terms: 33.13985516 + -24.5 = 8.63985516 n = 8.63985516 Simplifying n = 8.63985516Subproblem 2
n + 24.5 = -33.13985516 Simplifying n + 24.5 = -33.13985516 Reorder the terms: 24.5 + n = -33.13985516 Solving 24.5 + n = -33.13985516 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24.5' to each side of the equation. 24.5 + -24.5 + n = -33.13985516 + -24.5 Combine like terms: 24.5 + -24.5 = 0.0 0.0 + n = -33.13985516 + -24.5 n = -33.13985516 + -24.5 Combine like terms: -33.13985516 + -24.5 = -57.63985516 n = -57.63985516 Simplifying n = -57.63985516Solution
The solution to the problem is based on the solutions from the subproblems. n = {8.63985516, -57.63985516}
| -8-12x=52+8x | | 4x^2+36x-14=0 | | 3a-4b-c=12 | | 4(n+2)=6n+4 | | x^2-6.5x+42=0 | | 3t-4=t-8 | | 6729-3465= | | 1627+4738= | | xyz=100 | | xyz=80 | | 26-0.25Q=2+0.5Q | | 6x^3-18x^2+24=0 | | -6x(6x^2-6x+9)= | | (3x^3-4x^2+9)-(9-4x^2+3x^3)= | | 4t-5=7t+1 | | 2x+y=126 | | sin(7x)+-1sin(3x)=0 | | e^2-3x=12 | | x+7(3x+4)=11 | | y=-5+7x+x^2 | | 2+1-20= | | 2-2p-15= | | 2-16+63= | | 2+1+6= | | 2-4k-60= | | ax^2-4x+3a+1=0 | | 2-9b+14= | | 2-8p+40= | | 2+9r+16= | | 2+14p+40= | | 8d+4=3d+14 | | 2+10n+16= |