If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3n2 + 12n = -5 Reorder the terms: 12n + 3n2 = -5 Solving 12n + 3n2 = -5 Solving for variable 'n'. Reorder the terms: 5 + 12n + 3n2 = -5 + 5 Combine like terms: -5 + 5 = 0 5 + 12n + 3n2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 1.666666667 + 4n + n2 = 0 Move the constant term to the right: Add '-1.666666667' to each side of the equation. 1.666666667 + 4n + -1.666666667 + n2 = 0 + -1.666666667 Reorder the terms: 1.666666667 + -1.666666667 + 4n + n2 = 0 + -1.666666667 Combine like terms: 1.666666667 + -1.666666667 = 0.000000000 0.000000000 + 4n + n2 = 0 + -1.666666667 4n + n2 = 0 + -1.666666667 Combine like terms: 0 + -1.666666667 = -1.666666667 4n + n2 = -1.666666667 The n term is 4n. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4n + 4 + n2 = -1.666666667 + 4 Reorder the terms: 4 + 4n + n2 = -1.666666667 + 4 Combine like terms: -1.666666667 + 4 = 2.333333333 4 + 4n + n2 = 2.333333333 Factor a perfect square on the left side: (n + 2)(n + 2) = 2.333333333 Calculate the square root of the right side: 1.527525232 Break this problem into two subproblems by setting (n + 2) equal to 1.527525232 and -1.527525232.Subproblem 1
n + 2 = 1.527525232 Simplifying n + 2 = 1.527525232 Reorder the terms: 2 + n = 1.527525232 Solving 2 + n = 1.527525232 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + n = 1.527525232 + -2 Combine like terms: 2 + -2 = 0 0 + n = 1.527525232 + -2 n = 1.527525232 + -2 Combine like terms: 1.527525232 + -2 = -0.472474768 n = -0.472474768 Simplifying n = -0.472474768Subproblem 2
n + 2 = -1.527525232 Simplifying n + 2 = -1.527525232 Reorder the terms: 2 + n = -1.527525232 Solving 2 + n = -1.527525232 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + n = -1.527525232 + -2 Combine like terms: 2 + -2 = 0 0 + n = -1.527525232 + -2 n = -1.527525232 + -2 Combine like terms: -1.527525232 + -2 = -3.527525232 n = -3.527525232 Simplifying n = -3.527525232Solution
The solution to the problem is based on the solutions from the subproblems. n = {-0.472474768, -3.527525232}
| x*14=350 | | 62=3x+17 | | 10x+40=15x+35 | | 9b^2-10b+2=9 | | x^3+2x^2-23*x-60=0 | | -5n^2+120=10n | | -2n^2+12n=18 | | -5n^2+125=0 | | 14.4/46.08 | | 8=6x+18 | | 21a^2-35a=a^2 | | 8100+b^2=b+900 | | 15b^2+65b-45=5 | | 2/5.2 | | 46.08/14.4 | | X(y-11)-5(x-2)=2 | | x^2=9-6*sqrt(2) | | 4a^2-37a-8=-6a | | -413=-3x+5(-4x-32) | | 6v^2-55v-8=-v^2 | | 4sin(6x)=3 | | 3(x+5)-2(x-4)=0 | | -6x^2-3x=-7x^2-5x | | 3(x-1)-1=35 | | -4n^2+4n+11=-5n^2+8 | | 12y/8=x | | Xp^2-2yp+4x=0 | | 12y/8 | | 3p=-5(1000-p) | | -1.8v-7.3(7.5v-5)=-v-30.16 | | 1/8=n=3/4 | | 7x-3(x-1)=9 |