If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying n2 + -13n = 1 Reorder the terms: -13n + n2 = 1 Solving -13n + n2 = 1 Solving for variable 'n'. Reorder the terms: -1 + -13n + n2 = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + -13n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '1' to each side of the equation. -1 + -13n + 1 + n2 = 0 + 1 Reorder the terms: -1 + 1 + -13n + n2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -13n + n2 = 0 + 1 -13n + n2 = 0 + 1 Combine like terms: 0 + 1 = 1 -13n + n2 = 1 The n term is -13n. Take half its coefficient (-6.5). Square it (42.25) and add it to both sides. Add '42.25' to each side of the equation. -13n + 42.25 + n2 = 1 + 42.25 Reorder the terms: 42.25 + -13n + n2 = 1 + 42.25 Combine like terms: 1 + 42.25 = 43.25 42.25 + -13n + n2 = 43.25 Factor a perfect square on the left side: (n + -6.5)(n + -6.5) = 43.25 Calculate the square root of the right side: 6.576473219 Break this problem into two subproblems by setting (n + -6.5) equal to 6.576473219 and -6.576473219.Subproblem 1
n + -6.5 = 6.576473219 Simplifying n + -6.5 = 6.576473219 Reorder the terms: -6.5 + n = 6.576473219 Solving -6.5 + n = 6.576473219 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6.5' to each side of the equation. -6.5 + 6.5 + n = 6.576473219 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + n = 6.576473219 + 6.5 n = 6.576473219 + 6.5 Combine like terms: 6.576473219 + 6.5 = 13.076473219 n = 13.076473219 Simplifying n = 13.076473219Subproblem 2
n + -6.5 = -6.576473219 Simplifying n + -6.5 = -6.576473219 Reorder the terms: -6.5 + n = -6.576473219 Solving -6.5 + n = -6.576473219 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6.5' to each side of the equation. -6.5 + 6.5 + n = -6.576473219 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + n = -6.576473219 + 6.5 n = -6.576473219 + 6.5 Combine like terms: -6.576473219 + 6.5 = -0.076473219 n = -0.076473219 Simplifying n = -0.076473219Solution
The solution to the problem is based on the solutions from the subproblems. n = {13.076473219, -0.076473219}
| (x+15)2=2x+30 | | 49=-7k | | 3x+8-8x=-22 | | 4(5x-3)=23 | | 150m-75m+43425=46125-150m | | 3(h-6)=s(5-2h) | | 128=x | | x^2+6xy+5y^2=5 | | 6x-17=x+10 | | 27.10+5.12=x | | 180=7x+82 | | 5-2(3x^2+2x)=x^2+7-2x^2 | | 2k+4=16-2k | | 7(2y+4)=70 | | 3x+8(1-x)=-22 | | 8m-22=50 | | 27p^2-15p-2=0 | | 5w=-80 | | 66=x | | iz^3-1=0 | | 3x+77=6x+122 | | 2y-5=9y | | (3x^3)+(7x^2)-4=0 | | 5y-1+y+51=5y+50-3y | | 4+3m-1=8m+18-2m | | 15x+1=10x+4 | | -x^2-4x+16=0 | | -(-2)=19 | | 4x-2+2x=8x-2x+7 | | d-(-2)=19ford | | 5x+20=4x-8 | | x^3+6x+13x+10=0 |