If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 8n2 + -16n + -39 = 2 Reorder the terms: -39 + -16n + 8n2 = 2 Solving -39 + -16n + 8n2 = 2 Solving for variable 'n'. Reorder the terms: -39 + -2 + -16n + 8n2 = 2 + -2 Combine like terms: -39 + -2 = -41 -41 + -16n + 8n2 = 2 + -2 Combine like terms: 2 + -2 = 0 -41 + -16n + 8n2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. -5.125 + -2n + n2 = 0 Move the constant term to the right: Add '5.125' to each side of the equation. -5.125 + -2n + 5.125 + n2 = 0 + 5.125 Reorder the terms: -5.125 + 5.125 + -2n + n2 = 0 + 5.125 Combine like terms: -5.125 + 5.125 = 0.000 0.000 + -2n + n2 = 0 + 5.125 -2n + n2 = 0 + 5.125 Combine like terms: 0 + 5.125 = 5.125 -2n + n2 = 5.125 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 = 5.125 + 1 Reorder the terms: 1 + -2n + n2 = 5.125 + 1 Combine like terms: 5.125 + 1 = 6.125 1 + -2n + n2 = 6.125 Factor a perfect square on the left side: (n + -1)(n + -1) = 6.125 Calculate the square root of the right side: 2.474873734 Break this problem into two subproblems by setting (n + -1) equal to 2.474873734 and -2.474873734.Subproblem 1
n + -1 = 2.474873734 Simplifying n + -1 = 2.474873734 Reorder the terms: -1 + n = 2.474873734 Solving -1 + n = 2.474873734 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 = 2.474873734 + 1 Combine like terms: -1 + 1 = 0 0 + n = 2.474873734 + 1 n = 2.474873734 + 1 Combine like terms: 2.474873734 + 1 = 3.474873734 n = 3.474873734 Simplifying n = 3.474873734Subproblem 2
n + -1 = -2.474873734 Simplifying n + -1 = -2.474873734 Reorder the terms: -1 + n = -2.474873734 Solving -1 + n = -2.474873734 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 = -2.474873734 + 1 Combine like terms: -1 + 1 = 0 0 + n = -2.474873734 + 1 n = -2.474873734 + 1 Combine like terms: -2.474873734 + 1 = -1.474873734 n = -1.474873734 Simplifying n = -1.474873734Solution
The solution to the problem is based on the solutions from the subproblems. n = {3.474873734, -1.474873734}
| x-8=6x+20 | | p+6.5=21 | | (3x+1)-(x+3)=3(x+1) | | 2=4x-y | | 3x+-8y=0 | | x/4+0.5=1 | | 5x^2+2x=-3 | | sin(2x)=sin(0.5x) | | 1/2(x-2y-3z) | | 11x+29=0 | | 16-5(3+-4)=8(2+11) | | .83h-.583=.75h-3.5 | | 3x+7+5y=22 | | log[4]x=2 | | 445=130+35t | | x/5-619 | | 7+v(3)=7+v | | 1+8x=9x-6 | | 9/20-t/5=1 | | -5.5x+05.6=-1.64 | | 5x+11+2x+10=3x+9 | | 0.003(5-k)+0.03(k-9)=1 | | -(3/2)q^2-75q-204=0 | | 3x+5=-2x+30 | | 15y+20=-5y-10 | | X^2+3y=0 | | -x-3y=3 | | 8x-1/8=7/5 | | 3+8x-2=7x-3 | | 4(y+7)=5y | | (6+2i)(7-5i)=0 | | f(x)=x^2+40x+13 |