If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3n2 + 5 = 12n Reorder the terms: 5 + 3n2 = 12n Solving 5 + 3n2 = 12n Solving for variable 'n'. Reorder the terms: 5 + -12n + 3n2 = 12n + -12n Combine like terms: 12n + -12n = 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 = 3.527525232 n = 3.527525232 Simplifying n = 3.527525232Subproblem 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 = 0.472474768 n = 0.472474768 Simplifying n = 0.472474768Solution
The solution to the problem is based on the solutions from the subproblems. n = {3.527525232, 0.472474768}
| (9x)(x+1)=0 | | 35-14x=7y | | 7x-1=5x+11 | | 45x+1=46 | | 2k^2=12k+14 | | -4n+4-5=11+4n+6-5n | | -4p+5.7=11.1 | | -3+6x=8x+7 | | -2n-1=3n-6-5n | | N-7=-1+n | | 15x^4+15x^2y^2+10x^3y+10xy^3= | | N-7=-1+1 | | 4x-14=3x+6 | | -186=3(2-8b) | | 3x^2-9x^2-54x=0 | | -3(-4-7x)=-93 | | -266=-7(6x+2) | | 3a-5=a+13 | | 1-5b-4b=-17 | | -6a-a=-14 | | 12y-1=88 | | -8k+3-1=-6 | | 9x+365=7685 | | log(5)(5x+9)=log(5)6x | | 7=5-8p-6 | | -15+3t=330 | | 25-3=16t^2+96t | | 9z-5z=30+2 | | 3t+-15=330 | | 15y+6=10y-19 | | 3x-2=9-7x | | y^2-2x=10 |