If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3n(12n + 3) + -15 = 396 Reorder the terms: 3n(3 + 12n) + -15 = 396 (3 * 3n + 12n * 3n) + -15 = 396 (9n + 36n2) + -15 = 396 Reorder the terms: -15 + 9n + 36n2 = 396 Solving -15 + 9n + 36n2 = 396 Solving for variable 'n'. Reorder the terms: -15 + -396 + 9n + 36n2 = 396 + -396 Combine like terms: -15 + -396 = -411 -411 + 9n + 36n2 = 396 + -396 Combine like terms: 396 + -396 = 0 -411 + 9n + 36n2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-137 + 3n + 12n2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-137 + 3n + 12n2)' equal to zero and attempt to solve: Simplifying -137 + 3n + 12n2 = 0 Solving -137 + 3n + 12n2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. -11.41666667 + 0.25n + n2 = 0 Move the constant term to the right: Add '11.41666667' to each side of the equation. -11.41666667 + 0.25n + 11.41666667 + n2 = 0 + 11.41666667 Reorder the terms: -11.41666667 + 11.41666667 + 0.25n + n2 = 0 + 11.41666667 Combine like terms: -11.41666667 + 11.41666667 = 0.00000000 0.00000000 + 0.25n + n2 = 0 + 11.41666667 0.25n + n2 = 0 + 11.41666667 Combine like terms: 0 + 11.41666667 = 11.41666667 0.25n + n2 = 11.41666667 The n term is 0.25n. Take half its coefficient (0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. 0.25n + 0.015625 + n2 = 11.41666667 + 0.015625 Reorder the terms: 0.015625 + 0.25n + n2 = 11.41666667 + 0.015625 Combine like terms: 11.41666667 + 0.015625 = 11.43229167 0.015625 + 0.25n + n2 = 11.43229167 Factor a perfect square on the left side: (n + 0.125)(n + 0.125) = 11.43229167 Calculate the square root of the right side: 3.381167205 Break this problem into two subproblems by setting (n + 0.125) equal to 3.381167205 and -3.381167205.Subproblem 1
n + 0.125 = 3.381167205 Simplifying n + 0.125 = 3.381167205 Reorder the terms: 0.125 + n = 3.381167205 Solving 0.125 + n = 3.381167205 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.125' to each side of the equation. 0.125 + -0.125 + n = 3.381167205 + -0.125 Combine like terms: 0.125 + -0.125 = 0.000 0.000 + n = 3.381167205 + -0.125 n = 3.381167205 + -0.125 Combine like terms: 3.381167205 + -0.125 = 3.256167205 n = 3.256167205 Simplifying n = 3.256167205Subproblem 2
n + 0.125 = -3.381167205 Simplifying n + 0.125 = -3.381167205 Reorder the terms: 0.125 + n = -3.381167205 Solving 0.125 + n = -3.381167205 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.125' to each side of the equation. 0.125 + -0.125 + n = -3.381167205 + -0.125 Combine like terms: 0.125 + -0.125 = 0.000 0.000 + n = -3.381167205 + -0.125 n = -3.381167205 + -0.125 Combine like terms: -3.381167205 + -0.125 = -3.506167205 n = -3.506167205 Simplifying n = -3.506167205Solution
The solution to the problem is based on the solutions from the subproblems. n = {3.256167205, -3.506167205}Solution
n = {3.256167205, -3.506167205}
| -4(n+9)-(9n-5)=-14n | | g(x)=-f(x)+1 | | (.27x+2)=35x+1 | | Cox-10=-5 | | 2/3x-7/8=-1/3x-1/4 | | 45=6x+7x+6 | | d/1.3=2.6 | | -3+8j-21=7j+7 | | 3z+9-z=1+z-1 | | -3+t=0 | | 8(5x-6)+14x= | | -4(u+2)+6u= | | 4/5x-5=-1/5x-4 | | PM=6x+56 | | t(t^2-3t)=0 | | 8(5x-6)-14x= | | P^2+10p=-4 | | (6x+2)-6x=8 | | 8(x-6)+14x= | | 9x-4x=x | | 1=(7/w)-(10/(w^2)) | | 5X-12X+3=3+12X+32 | | 9(x+1)-4=4x+5(1+x) | | 32y-5t= | | 0.84=logx | | 9x-1=9x-x | | Z^2-3z-5=0 | | -8/7x=-6 | | -18-3x=4(-6x+6) | | -2n+21=12n-15 | | 2x+y=5x-6 | | f(a)=-2a+3 |