If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 15 = 4.3n + -2.1n(n + -4) Reorder the terms: 15 = 4.3n + -2.1n(-4 + n) 15 = 4.3n + (-4 * -2.1n + n * -2.1n) 15 = 4.3n + (8.4n + -2.1n2) Combine like terms: 4.3n + 8.4n = 12.7n 15 = 12.7n + -2.1n2 Solving 15 = 12.7n + -2.1n2 Solving for variable 'n'. Reorder the terms: 15 + -12.7n + 2.1n2 = 12.7n + -12.7n + -2.1n2 + 2.1n2 Combine like terms: 12.7n + -12.7n = 0.0 15 + -12.7n + 2.1n2 = 0.0 + -2.1n2 + 2.1n2 15 + -12.7n + 2.1n2 = -2.1n2 + 2.1n2 Combine like terms: -2.1n2 + 2.1n2 = 0.0 15 + -12.7n + 2.1n2 = 0.0 Begin completing the square. Divide all terms by 2.1 the coefficient of the squared term: Divide each side by '2.1'. 7.142857143 + -6.047619048n + n2 = 0 Move the constant term to the right: Add '-7.142857143' to each side of the equation. 7.142857143 + -6.047619048n + -7.142857143 + n2 = 0 + -7.142857143 Reorder the terms: 7.142857143 + -7.142857143 + -6.047619048n + n2 = 0 + -7.142857143 Combine like terms: 7.142857143 + -7.142857143 = 0.000000000 0.000000000 + -6.047619048n + n2 = 0 + -7.142857143 -6.047619048n + n2 = 0 + -7.142857143 Combine like terms: 0 + -7.142857143 = -7.142857143 -6.047619048n + n2 = -7.142857143 The n term is -6.047619048n. Take half its coefficient (-3.023809524). Square it (9.143424037) and add it to both sides. Add '9.143424037' to each side of the equation. -6.047619048n + 9.143424037 + n2 = -7.142857143 + 9.143424037 Reorder the terms: 9.143424037 + -6.047619048n + n2 = -7.142857143 + 9.143424037 Combine like terms: -7.142857143 + 9.143424037 = 2.000566894 9.143424037 + -6.047619048n + n2 = 2.000566894 Factor a perfect square on the left side: (n + -3.023809524)(n + -3.023809524) = 2.000566894 Calculate the square root of the right side: 1.414413975 Break this problem into two subproblems by setting (n + -3.023809524) equal to 1.414413975 and -1.414413975.Subproblem 1
n + -3.023809524 = 1.414413975 Simplifying n + -3.023809524 = 1.414413975 Reorder the terms: -3.023809524 + n = 1.414413975 Solving -3.023809524 + n = 1.414413975 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3.023809524' to each side of the equation. -3.023809524 + 3.023809524 + n = 1.414413975 + 3.023809524 Combine like terms: -3.023809524 + 3.023809524 = 0.000000000 0.000000000 + n = 1.414413975 + 3.023809524 n = 1.414413975 + 3.023809524 Combine like terms: 1.414413975 + 3.023809524 = 4.438223499 n = 4.438223499 Simplifying n = 4.438223499Subproblem 2
n + -3.023809524 = -1.414413975 Simplifying n + -3.023809524 = -1.414413975 Reorder the terms: -3.023809524 + n = -1.414413975 Solving -3.023809524 + n = -1.414413975 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3.023809524' to each side of the equation. -3.023809524 + 3.023809524 + n = -1.414413975 + 3.023809524 Combine like terms: -3.023809524 + 3.023809524 = 0.000000000 0.000000000 + n = -1.414413975 + 3.023809524 n = -1.414413975 + 3.023809524 Combine like terms: -1.414413975 + 3.023809524 = 1.609395549 n = 1.609395549 Simplifying n = 1.609395549Solution
The solution to the problem is based on the solutions from the subproblems. n = {4.438223499, 1.609395549}
| 6t^2-11t-21=0 | | 4x+9=2(2x+4)+1 | | 2d+(8-5)=10(5-2)+d(2) | | -5=-6n+n | | -7-2+8x=5 | | 2a+2b=28 | | 9x-22x=26 | | 2x+4x-6x=8 | | 197=5(4a+1)+4a | | 3(4-x)=36 | | -9-5+6v=19 | | D=m+p/2 | | 9x-22nd=26 | | 2x+x^2+1=9 | | 3(1/3+2)=-9 | | 5=(4x-9)/3-(3x+2)/6 | | 2x+5=5+x | | 15x-8-11x=2(2x-5)+2 | | 7x-13+2x=2+9x-14 | | -3k+2+5k=10 | | 48-(2c+3)=4(c+6)+c | | 4-.5(c-6)=4 | | -8*+11=27 | | 8=3(w-4)+8 | | 12x-(8-2x)=5(2x-1) | | 4(3+6x)-2=130 | | -14-5r=4r-5 | | 12t^2-5t-3=0 | | 5(x-2)+x=6(x-3)-4x | | 4x/3+1=3y/2-6 | | 7k+10=-62-19 | | 5[2p-4(p+4)]=25 |