If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2n2 + 6n + -108 = 1 Reorder the terms: -108 + 6n + 2n2 = 1 Solving -108 + 6n + 2n2 = 1 Solving for variable 'n'. Reorder the terms: -108 + -1 + 6n + 2n2 = 1 + -1 Combine like terms: -108 + -1 = -109 -109 + 6n + 2n2 = 1 + -1 Combine like terms: 1 + -1 = 0 -109 + 6n + 2n2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -54.5 + 3n + n2 = 0 Move the constant term to the right: Add '54.5' to each side of the equation. -54.5 + 3n + 54.5 + n2 = 0 + 54.5 Reorder the terms: -54.5 + 54.5 + 3n + n2 = 0 + 54.5 Combine like terms: -54.5 + 54.5 = 0.0 0.0 + 3n + n2 = 0 + 54.5 3n + n2 = 0 + 54.5 Combine like terms: 0 + 54.5 = 54.5 3n + n2 = 54.5 The n term is 3n. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3n + 2.25 + n2 = 54.5 + 2.25 Reorder the terms: 2.25 + 3n + n2 = 54.5 + 2.25 Combine like terms: 54.5 + 2.25 = 56.75 2.25 + 3n + n2 = 56.75 Factor a perfect square on the left side: (n + 1.5)(n + 1.5) = 56.75 Calculate the square root of the right side: 7.533259587 Break this problem into two subproblems by setting (n + 1.5) equal to 7.533259587 and -7.533259587.Subproblem 1
n + 1.5 = 7.533259587 Simplifying n + 1.5 = 7.533259587 Reorder the terms: 1.5 + n = 7.533259587 Solving 1.5 + n = 7.533259587 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + n = 7.533259587 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + n = 7.533259587 + -1.5 n = 7.533259587 + -1.5 Combine like terms: 7.533259587 + -1.5 = 6.033259587 n = 6.033259587 Simplifying n = 6.033259587Subproblem 2
n + 1.5 = -7.533259587 Simplifying n + 1.5 = -7.533259587 Reorder the terms: 1.5 + n = -7.533259587 Solving 1.5 + n = -7.533259587 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + n = -7.533259587 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + n = -7.533259587 + -1.5 n = -7.533259587 + -1.5 Combine like terms: -7.533259587 + -1.5 = -9.033259587 n = -9.033259587 Simplifying n = -9.033259587Solution
The solution to the problem is based on the solutions from the subproblems. n = {6.033259587, -9.033259587}
| -2x^4+18x^2=0 | | -1+5-9=0 | | -9+5=0 | | 14x^3-7x^2= | | -6n+19=-5n-7 | | (3n+1)= | | -6c+5=-19 | | 14x^2-7x^2= | | (x-8)= | | 3(3c-1)-5=5c+4 | | 3(x+1)(x-2)=0 | | x+(x+1)+(x+2)=51 | | 9+18c-6= | | 2x^2+2xy+2y^2=8 | | 120-5x=31x+24 | | 8-7x=30-14x | | -5(3+w)+7=17 | | 15+3y-2=11y-11-2y | | 128t-6t^2=112 | | 7+12x=1-6+x | | x*30=.30 | | x*30=30 | | X^2-6x=13 | | -64t+3t^2=56 | | 26600=.14*x | | 8+3x=80 | | -5(y+2)=-2(2y-2)+5y | | -9+q=-31 | | x^2+24x-27=0 | | n+8=0 | | -2(2y-3)+2y=8+2(3y-4) | | t+22.1=23.08 |