If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 8n(4n + 7) = 13 Reorder the terms: 8n(7 + 4n) = 13 (7 * 8n + 4n * 8n) = 13 (56n + 32n2) = 13 Solving 56n + 32n2 = 13 Solving for variable 'n'. Reorder the terms: -13 + 56n + 32n2 = 13 + -13 Combine like terms: 13 + -13 = 0 -13 + 56n + 32n2 = 0 Begin completing the square. Divide all terms by 32 the coefficient of the squared term: Divide each side by '32'. -0.40625 + 1.75n + n2 = 0 Move the constant term to the right: Add '0.40625' to each side of the equation. -0.40625 + 1.75n + 0.40625 + n2 = 0 + 0.40625 Reorder the terms: -0.40625 + 0.40625 + 1.75n + n2 = 0 + 0.40625 Combine like terms: -0.40625 + 0.40625 = 0.00000 0.00000 + 1.75n + n2 = 0 + 0.40625 1.75n + n2 = 0 + 0.40625 Combine like terms: 0 + 0.40625 = 0.40625 1.75n + n2 = 0.40625 The n term is 1.75n. Take half its coefficient (0.875). Square it (0.765625) and add it to both sides. Add '0.765625' to each side of the equation. 1.75n + 0.765625 + n2 = 0.40625 + 0.765625 Reorder the terms: 0.765625 + 1.75n + n2 = 0.40625 + 0.765625 Combine like terms: 0.40625 + 0.765625 = 1.171875 0.765625 + 1.75n + n2 = 1.171875 Factor a perfect square on the left side: (n + 0.875)(n + 0.875) = 1.171875 Calculate the square root of the right side: 1.082531755 Break this problem into two subproblems by setting (n + 0.875) equal to 1.082531755 and -1.082531755.Subproblem 1
n + 0.875 = 1.082531755 Simplifying n + 0.875 = 1.082531755 Reorder the terms: 0.875 + n = 1.082531755 Solving 0.875 + n = 1.082531755 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.875' to each side of the equation. 0.875 + -0.875 + n = 1.082531755 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + n = 1.082531755 + -0.875 n = 1.082531755 + -0.875 Combine like terms: 1.082531755 + -0.875 = 0.207531755 n = 0.207531755 Simplifying n = 0.207531755Subproblem 2
n + 0.875 = -1.082531755 Simplifying n + 0.875 = -1.082531755 Reorder the terms: 0.875 + n = -1.082531755 Solving 0.875 + n = -1.082531755 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.875' to each side of the equation. 0.875 + -0.875 + n = -1.082531755 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + n = -1.082531755 + -0.875 n = -1.082531755 + -0.875 Combine like terms: -1.082531755 + -0.875 = -1.957531755 n = -1.957531755 Simplifying n = -1.957531755Solution
The solution to the problem is based on the solutions from the subproblems. n = {0.207531755, -1.957531755}
| 69=-3s+78 | | 8n+16.2=2.6 | | -6-3x=-18 | | 39n-3n=-6(4n-3) | | -6x-5y=-29 | | 6(-2n+4)-2n=-6-n | | 55+3x-8x=20x+10-10x | | secx^2-4tanx-2=0 | | -4y=-3 | | -22=3s+8 | | 6x-4=40 | | 2.5x-3=13 | | U+1=8 | | -6-3=-18 | | -7x+6y=-22 | | 15x+5=21x-7 | | 22=-15x | | 8b+111-3b=2b+2 | | 9(13m+6)= | | 2.72=-0.2d+13.8 | | x/100=70/80 | | -15/7.4 | | x^2-6x-4y-15=0 | | 2(2w-2)+2w=11 | | 3-1.5y=5.4-2.7y | | .07p+4.6=7.3+-0.2p | | sec^2x=4tanx-2 | | 16x+8y=34 | | 3-5x=30-2x | | 17(15q+17)= | | 3-1.5=5.4-2.7 | | 76=-5s+81 |