If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying n2 + n + -68 = 0 Reorder the terms: -68 + n + n2 = 0 Solving -68 + n + n2 = 0 Solving for variable 'n'. Begin completing the square. Move the constant term to the right: Add '68' to each side of the equation. -68 + n + 68 + n2 = 0 + 68 Reorder the terms: -68 + 68 + n + n2 = 0 + 68 Combine like terms: -68 + 68 = 0 0 + n + n2 = 0 + 68 n + n2 = 0 + 68 Combine like terms: 0 + 68 = 68 n + n2 = 68 The n term is n. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. n + 0.25 + n2 = 68 + 0.25 Reorder the terms: 0.25 + n + n2 = 68 + 0.25 Combine like terms: 68 + 0.25 = 68.25 0.25 + n + n2 = 68.25 Factor a perfect square on the left side: (n + 0.5)(n + 0.5) = 68.25 Calculate the square root of the right side: 8.261355821 Break this problem into two subproblems by setting (n + 0.5) equal to 8.261355821 and -8.261355821.Subproblem 1
n + 0.5 = 8.261355821 Simplifying n + 0.5 = 8.261355821 Reorder the terms: 0.5 + n = 8.261355821 Solving 0.5 + n = 8.261355821 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + n = 8.261355821 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + n = 8.261355821 + -0.5 n = 8.261355821 + -0.5 Combine like terms: 8.261355821 + -0.5 = 7.761355821 n = 7.761355821 Simplifying n = 7.761355821Subproblem 2
n + 0.5 = -8.261355821 Simplifying n + 0.5 = -8.261355821 Reorder the terms: 0.5 + n = -8.261355821 Solving 0.5 + n = -8.261355821 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + n = -8.261355821 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + n = -8.261355821 + -0.5 n = -8.261355821 + -0.5 Combine like terms: -8.261355821 + -0.5 = -8.761355821 n = -8.761355821 Simplifying n = -8.761355821Solution
The solution to the problem is based on the solutions from the subproblems. n = {7.761355821, -8.761355821}
| (y^2+xy)dx+x^2dy=0 | | 2/15=x/87 | | (24-2x)(20-2x)=165 | | (20-2x)(24-2x)=165 | | 8a-2=4a-10 | | 1=23x-29x | | 1=23x-23x | | 1-12m=-2/3 | | 165=(20-2x)(24-2x) | | 173856696926656979429626542(x-1)=547547654x | | 4/0.8=x/2 | | 10x^2-16x-8=0 | | -x-10=x^2+2x-8 | | 1x-555=554-2x | | 2w+7-7(-2w-1)=4w-1 | | -2(w+1)=2w-2+2(6w+3) | | -2u+80=-15 | | 3x+x+6=90 | | X^2+8x=81 | | -3(3w-8)+w=7(w+6) | | X^2+8x+16=97 | | 5c+5c= | | x+4=97 | | 3(x+30)+2x= | | 15t+2= | | 15t-2= | | 6x=4+4x^2-12-12x+13 | | -t=8(t-10) | | 1.08(1.23)(7-x)=8 | | 11y+5=38 | | .75/3 | | -3y-7=-19 |