If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying n2 + 20n + -52 = 0 Reorder the terms: -52 + 20n + n2 = 0 Solving -52 + 20n + n2 = 0 Solving for variable 'n'. Begin completing the square. Move the constant term to the right: Add '52' to each side of the equation. -52 + 20n + 52 + n2 = 0 + 52 Reorder the terms: -52 + 52 + 20n + n2 = 0 + 52 Combine like terms: -52 + 52 = 0 0 + 20n + n2 = 0 + 52 20n + n2 = 0 + 52 Combine like terms: 0 + 52 = 52 20n + n2 = 52 The n term is 20n. Take half its coefficient (10). Square it (100) and add it to both sides. Add '100' to each side of the equation. 20n + 100 + n2 = 52 + 100 Reorder the terms: 100 + 20n + n2 = 52 + 100 Combine like terms: 52 + 100 = 152 100 + 20n + n2 = 152 Factor a perfect square on the left side: (n + 10)(n + 10) = 152 Calculate the square root of the right side: 12.328828006 Break this problem into two subproblems by setting (n + 10) equal to 12.328828006 and -12.328828006.Subproblem 1
n + 10 = 12.328828006 Simplifying n + 10 = 12.328828006 Reorder the terms: 10 + n = 12.328828006 Solving 10 + n = 12.328828006 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + n = 12.328828006 + -10 Combine like terms: 10 + -10 = 0 0 + n = 12.328828006 + -10 n = 12.328828006 + -10 Combine like terms: 12.328828006 + -10 = 2.328828006 n = 2.328828006 Simplifying n = 2.328828006Subproblem 2
n + 10 = -12.328828006 Simplifying n + 10 = -12.328828006 Reorder the terms: 10 + n = -12.328828006 Solving 10 + n = -12.328828006 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + n = -12.328828006 + -10 Combine like terms: 10 + -10 = 0 0 + n = -12.328828006 + -10 n = -12.328828006 + -10 Combine like terms: -12.328828006 + -10 = -22.328828006 n = -22.328828006 Simplifying n = -22.328828006Solution
The solution to the problem is based on the solutions from the subproblems. n = {2.328828006, -22.328828006}
| 7+3x=-3(4-5x) | | k-30=3k+20 | | (5y-8)(5+y)=0 | | 2x+1=8+9x | | n+3.8=7.4 | | x+26=28 | | 3.8=d+2.6 | | 3+8x=5x-9 | | 4x-8=2x+1 | | r+4.2=-7.7 | | 5x(x-1)=25 | | x+26=8 | | 0.6x=600 | | ln(x+9)=6 | | 6+2=3x-5 | | 6(-1)+24=-12y | | Ln(2x+1)=0 | | n^2-4n-96=0 | | 60x=600 | | 7.6=r+-2.6 | | 6(0)+24=-12y | | 6(0)+24=-12 | | -5=d+-0.9 | | 6.6=n+6.5 | | 6(1)+24=-12y | | c+3.3=-9 | | 3.7=d+0.4 | | c+3.1=5 | | 49x^2+56x-16=0 | | 2(3x-2)+4(x+5)=4x-2 | | cos(2x)= | | 6r+7=14+7r |