If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying n2 + 14n + 49 = 149 Reorder the terms: 49 + 14n + n2 = 149 Solving 49 + 14n + n2 = 149 Solving for variable 'n'. Reorder the terms: 49 + -149 + 14n + n2 = 149 + -149 Combine like terms: 49 + -149 = -100 -100 + 14n + n2 = 149 + -149 Combine like terms: 149 + -149 = 0 -100 + 14n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '100' to each side of the equation. -100 + 14n + 100 + n2 = 0 + 100 Reorder the terms: -100 + 100 + 14n + n2 = 0 + 100 Combine like terms: -100 + 100 = 0 0 + 14n + n2 = 0 + 100 14n + n2 = 0 + 100 Combine like terms: 0 + 100 = 100 14n + n2 = 100 The n term is 14n. Take half its coefficient (7). Square it (49) and add it to both sides. Add '49' to each side of the equation. 14n + 49 + n2 = 100 + 49 Reorder the terms: 49 + 14n + n2 = 100 + 49 Combine like terms: 100 + 49 = 149 49 + 14n + n2 = 149 Factor a perfect square on the left side: (n + 7)(n + 7) = 149 Calculate the square root of the right side: 12.206555616 Break this problem into two subproblems by setting (n + 7) equal to 12.206555616 and -12.206555616.Subproblem 1
n + 7 = 12.206555616 Simplifying n + 7 = 12.206555616 Reorder the terms: 7 + n = 12.206555616 Solving 7 + n = 12.206555616 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + n = 12.206555616 + -7 Combine like terms: 7 + -7 = 0 0 + n = 12.206555616 + -7 n = 12.206555616 + -7 Combine like terms: 12.206555616 + -7 = 5.206555616 n = 5.206555616 Simplifying n = 5.206555616Subproblem 2
n + 7 = -12.206555616 Simplifying n + 7 = -12.206555616 Reorder the terms: 7 + n = -12.206555616 Solving 7 + n = -12.206555616 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + n = -12.206555616 + -7 Combine like terms: 7 + -7 = 0 0 + n = -12.206555616 + -7 n = -12.206555616 + -7 Combine like terms: -12.206555616 + -7 = -19.206555616 n = -19.206555616 Simplifying n = -19.206555616Solution
The solution to the problem is based on the solutions from the subproblems. n = {5.206555616, -19.206555616}
| 18x^2-6x+-4=0 | | 4+1=22+x | | -5-7x=-89 | | V^2=10v | | 30=-3d-5 | | 20p+44=-28 | | 3x-y=-24 | | 6-4(x-3)=2x-36 | | -30x-20y=-20 | | 0.3(t-7)=0.4t | | -4[x+5(-3xy+x)]-(10+15xy)=z | | 3x-6=9+2x | | 6(1-2b)=30-6b | | -32-2x=5x+59 | | -5m+11-2m-4= | | 0.2(50)+0.8r=0.4(50+5) | | 15-7(5x+1)+9x-4= | | -2a-7a=9 | | -6x-3(-5x+5)=93 | | -7a^2-65a-18=0 | | m-3=-5m+1 | | 9y+37x-23(45y)=2(125x-10) | | 44(x+20)-3x=180 | | 3x-5(x-2)=5+4x+13 | | 12t-9-t-4= | | 3p-3=91.50 | | -7a^2-65a+8=0 | | -5p-8p=-6-7p | | 5(x+6)+6=7x-4 | | -6x-3(5x+5)=93 | | 4t+4(1-3t) | | 4(9.7-8.1)= |