If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5n(4n + 7) = 1 Reorder the terms: 5n(7 + 4n) = 1 (7 * 5n + 4n * 5n) = 1 (35n + 20n2) = 1 Solving 35n + 20n2 = 1 Solving for variable 'n'. Reorder the terms: -1 + 35n + 20n2 = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 35n + 20n2 = 0 Begin completing the square. Divide all terms by 20 the coefficient of the squared term: Divide each side by '20'. -0.05 + 1.75n + n2 = 0.0 Move the constant term to the right: Add '0.05' to each side of the equation. -0.05 + 1.75n + 0.05 + n2 = 0.0 + 0.05 Reorder the terms: -0.05 + 0.05 + 1.75n + n2 = 0.0 + 0.05 Combine like terms: -0.05 + 0.05 = 0.00 0.00 + 1.75n + n2 = 0.0 + 0.05 1.75n + n2 = 0.0 + 0.05 Combine like terms: 0.0 + 0.05 = 0.05 1.75n + n2 = 0.05 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 = 0.05 + 0.765625 Reorder the terms: 0.765625 + 1.75n + n2 = 0.05 + 0.765625 Combine like terms: 0.05 + 0.765625 = 0.815625 0.765625 + 1.75n + n2 = 0.815625 Factor a perfect square on the left side: (n + 0.875)(n + 0.875) = 0.815625 Calculate the square root of the right side: 0.903119593 Break this problem into two subproblems by setting (n + 0.875) equal to 0.903119593 and -0.903119593.Subproblem 1
n + 0.875 = 0.903119593 Simplifying n + 0.875 = 0.903119593 Reorder the terms: 0.875 + n = 0.903119593 Solving 0.875 + n = 0.903119593 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 = 0.903119593 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + n = 0.903119593 + -0.875 n = 0.903119593 + -0.875 Combine like terms: 0.903119593 + -0.875 = 0.028119593 n = 0.028119593 Simplifying n = 0.028119593Subproblem 2
n + 0.875 = -0.903119593 Simplifying n + 0.875 = -0.903119593 Reorder the terms: 0.875 + n = -0.903119593 Solving 0.875 + n = -0.903119593 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 = -0.903119593 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + n = -0.903119593 + -0.875 n = -0.903119593 + -0.875 Combine like terms: -0.903119593 + -0.875 = -1.778119593 n = -1.778119593 Simplifying n = -1.778119593Solution
The solution to the problem is based on the solutions from the subproblems. n = {0.028119593, -1.778119593}
| 128-7x=11x+24 | | 14-9x=92-30x | | 3x+7=-71-10x | | 2x-23+x=12 | | -102-8x=-58-10x | | 2x+4=-58-10x | | 9-9x=75-23 | | 4+12x=125-x | | 140-5x=4x+5 | | 152-6x=6x-20 | | 129-5x=3x+9 | | x^3+13x^2+40x=0 | | 15.6-x=13 | | 9-4y-6=-9y-22 | | 90-6x=9x+15 | | 66-3x=6x+22 | | 2x+7.5=13.8 | | 14-10x=60-24x | | 11x-21=-4x+24 | | 9+6x=39+x | | 9+6x=29+x | | 2y^2+14y+86=0 | | 12t-3=9 | | 0.5m-8=2m-22 | | 13-5z=-17-7z | | 2x-3=9x-324 | | 49+x=89+6x | | 91-7x=11x+21 | | 65-8x=104 | | -36+4x=54 | | -x+5=-2 | | 6x-11-3x=-7x-71 |