If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2(9n + -1) + 7n(n + 6) = -60 Reorder the terms: 2(-1 + 9n) + 7n(n + 6) = -60 (-1 * 2 + 9n * 2) + 7n(n + 6) = -60 (-2 + 18n) + 7n(n + 6) = -60 Reorder the terms: -2 + 18n + 7n(6 + n) = -60 -2 + 18n + (6 * 7n + n * 7n) = -60 -2 + 18n + (42n + 7n2) = -60 Combine like terms: 18n + 42n = 60n -2 + 60n + 7n2 = -60 Solving -2 + 60n + 7n2 = -60 Solving for variable 'n'. Reorder the terms: -2 + 60 + 60n + 7n2 = -60 + 60 Combine like terms: -2 + 60 = 58 58 + 60n + 7n2 = -60 + 60 Combine like terms: -60 + 60 = 0 58 + 60n + 7n2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 8.285714286 + 8.571428571n + n2 = 0 Move the constant term to the right: Add '-8.285714286' to each side of the equation. 8.285714286 + 8.571428571n + -8.285714286 + n2 = 0 + -8.285714286 Reorder the terms: 8.285714286 + -8.285714286 + 8.571428571n + n2 = 0 + -8.285714286 Combine like terms: 8.285714286 + -8.285714286 = 0.000000000 0.000000000 + 8.571428571n + n2 = 0 + -8.285714286 8.571428571n + n2 = 0 + -8.285714286 Combine like terms: 0 + -8.285714286 = -8.285714286 8.571428571n + n2 = -8.285714286 The n term is 8.571428571n. Take half its coefficient (4.285714286). Square it (18.36734694) and add it to both sides. Add '18.36734694' to each side of the equation. 8.571428571n + 18.36734694 + n2 = -8.285714286 + 18.36734694 Reorder the terms: 18.36734694 + 8.571428571n + n2 = -8.285714286 + 18.36734694 Combine like terms: -8.285714286 + 18.36734694 = 10.081632654 18.36734694 + 8.571428571n + n2 = 10.081632654 Factor a perfect square on the left side: (n + 4.285714286)(n + 4.285714286) = 10.081632654 Calculate the square root of the right side: 3.175158682 Break this problem into two subproblems by setting (n + 4.285714286) equal to 3.175158682 and -3.175158682.Subproblem 1
n + 4.285714286 = 3.175158682 Simplifying n + 4.285714286 = 3.175158682 Reorder the terms: 4.285714286 + n = 3.175158682 Solving 4.285714286 + n = 3.175158682 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4.285714286' to each side of the equation. 4.285714286 + -4.285714286 + n = 3.175158682 + -4.285714286 Combine like terms: 4.285714286 + -4.285714286 = 0.000000000 0.000000000 + n = 3.175158682 + -4.285714286 n = 3.175158682 + -4.285714286 Combine like terms: 3.175158682 + -4.285714286 = -1.110555604 n = -1.110555604 Simplifying n = -1.110555604Subproblem 2
n + 4.285714286 = -3.175158682 Simplifying n + 4.285714286 = -3.175158682 Reorder the terms: 4.285714286 + n = -3.175158682 Solving 4.285714286 + n = -3.175158682 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4.285714286' to each side of the equation. 4.285714286 + -4.285714286 + n = -3.175158682 + -4.285714286 Combine like terms: 4.285714286 + -4.285714286 = 0.000000000 0.000000000 + n = -3.175158682 + -4.285714286 n = -3.175158682 + -4.285714286 Combine like terms: -3.175158682 + -4.285714286 = -7.460872968 n = -7.460872968 Simplifying n = -7.460872968Solution
The solution to the problem is based on the solutions from the subproblems. n = {-1.110555604, -7.460872968}
| 24x-18-12x=4(3x-5)+2 | | -4(4y-3x-3)= | | x^2+25x-9350=0 | | 14+3n=8-3(n-4) | | 11/8-3/7=x | | 5y-4+1=12 | | 7*3x+6=11-(x+2) | | (-1.5)(3.2)(10)= | | -2(2f-4)=(-f+2) | | 2x+x(x+8)=180 | | r^2=35-2r | | x^2-16x+68=0 | | (-1.5)(3.2)(19)= | | 0.2x-.16(x-9)=6x | | f(15)=100x-5x^2 | | 3x+8-8x=13-19x+14x-5 | | 6(4x-5)=2(12x+7) | | X=158+-9x | | .1x+.1x= | | 5+13z-4=-6z+23-4z | | 64=8(x+2) | | 4x+3y-2y+6= | | 17-2k+8=26 | | 7.50x+8=13+16x | | 5(3x-3)=15+5x | | 10-6(x+1)=-8x+14 | | 0=5v+6v | | 7.50+8=13+16x | | -18n+4=-14n-12 | | 2y+6y-12=4(2y-3) | | 3v-6+2(2v+6)=-3(v+4) | | 8*1-2y=-16 |