If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying n2 = 2n + 1 Reorder the terms: n2 = 1 + 2n Solving n2 = 1 + 2n Solving for variable 'n'. Reorder the terms: -1 + -2n + n2 = 1 + 2n + -1 + -2n Reorder the terms: -1 + -2n + n2 = 1 + -1 + 2n + -2n Combine like terms: 1 + -1 = 0 -1 + -2n + n2 = 0 + 2n + -2n -1 + -2n + n2 = 2n + -2n Combine like terms: 2n + -2n = 0 -1 + -2n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '1' to each side of the equation. -1 + -2n + 1 + n2 = 0 + 1 Reorder the terms: -1 + 1 + -2n + n2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2n + n2 = 0 + 1 -2n + n2 = 0 + 1 Combine like terms: 0 + 1 = 1 -2n + n2 = 1 The n term is -2n. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2n + 1 + n2 = 1 + 1 Reorder the terms: 1 + -2n + n2 = 1 + 1 Combine like terms: 1 + 1 = 2 1 + -2n + n2 = 2 Factor a perfect square on the left side: (n + -1)(n + -1) = 2 Calculate the square root of the right side: 1.414213562 Break this problem into two subproblems by setting (n + -1) equal to 1.414213562 and -1.414213562.Subproblem 1
n + -1 = 1.414213562 Simplifying n + -1 = 1.414213562 Reorder the terms: -1 + n = 1.414213562 Solving -1 + n = 1.414213562 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + n = 1.414213562 + 1 Combine like terms: -1 + 1 = 0 0 + n = 1.414213562 + 1 n = 1.414213562 + 1 Combine like terms: 1.414213562 + 1 = 2.414213562 n = 2.414213562 Simplifying n = 2.414213562Subproblem 2
n + -1 = -1.414213562 Simplifying n + -1 = -1.414213562 Reorder the terms: -1 + n = -1.414213562 Solving -1 + n = -1.414213562 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + n = -1.414213562 + 1 Combine like terms: -1 + 1 = 0 0 + n = -1.414213562 + 1 n = -1.414213562 + 1 Combine like terms: -1.414213562 + 1 = -0.414213562 n = -0.414213562 Simplifying n = -0.414213562Solution
The solution to the problem is based on the solutions from the subproblems. n = {2.414213562, -0.414213562}
| x+xy+2(y^2)=6 | | 3x+4y+2z=8 | | 64-125a^3=0 | | 3b-2(b+3)=4b+6 | | 50+2y=y | | -2-(-12-13)-4+6= | | y+10+2y-40+2y-31+2y-40=180 | | -(-11-12)-(5-11)= | | b^3-g^3=0 | | 5y-61+x=180 | | 300-x=300-2y | | 5a-4=3a-6 | | 12d-8=0 | | y=2x^2+6x-2 | | 6x-(3x-14)=35+(15-6x) | | 3x-2=3-2x | | -(3x-2)=2x | | a^2-14az+48z^2=0 | | y^2-22y+120=0 | | 21+22m+m^2=0 | | 6x^3-11x^2-57x+20=0 | | 4w-12+w^2=0 | | 3q^2+11=5q | | 3x+28=11x-29 | | c^2-6c+5=0 | | 6.78+5.2x=-36.5 | | 2x+3y+13=0 | | t^2-6t=20+2t | | t^2-6-2t-20=0 | | 32-2x=7x+19 | | t^2-6+2t-20=0 | | ln(6x+3)=3 |