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 = 100 Reorder the terms: 12n + 3n2 = 100 Solving 12n + 3n2 = 100 Solving for variable 'n'. Reorder the terms: -100 + 12n + 3n2 = 100 + -100 Combine like terms: 100 + -100 = 0 -100 + 12n + 3n2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -33.33333333 + 4n + n2 = 0 Move the constant term to the right: Add '33.33333333' to each side of the equation. -33.33333333 + 4n + 33.33333333 + n2 = 0 + 33.33333333 Reorder the terms: -33.33333333 + 33.33333333 + 4n + n2 = 0 + 33.33333333 Combine like terms: -33.33333333 + 33.33333333 = 0.00000000 0.00000000 + 4n + n2 = 0 + 33.33333333 4n + n2 = 0 + 33.33333333 Combine like terms: 0 + 33.33333333 = 33.33333333 4n + n2 = 33.33333333 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 = 33.33333333 + 4 Reorder the terms: 4 + 4n + n2 = 33.33333333 + 4 Combine like terms: 33.33333333 + 4 = 37.33333333 4 + 4n + n2 = 37.33333333 Factor a perfect square on the left side: (n + 2)(n + 2) = 37.33333333 Calculate the square root of the right side: 6.110100926 Break this problem into two subproblems by setting (n + 2) equal to 6.110100926 and -6.110100926.Subproblem 1
n + 2 = 6.110100926 Simplifying n + 2 = 6.110100926 Reorder the terms: 2 + n = 6.110100926 Solving 2 + n = 6.110100926 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 = 6.110100926 + -2 Combine like terms: 2 + -2 = 0 0 + n = 6.110100926 + -2 n = 6.110100926 + -2 Combine like terms: 6.110100926 + -2 = 4.110100926 n = 4.110100926 Simplifying n = 4.110100926Subproblem 2
n + 2 = -6.110100926 Simplifying n + 2 = -6.110100926 Reorder the terms: 2 + n = -6.110100926 Solving 2 + n = -6.110100926 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 = -6.110100926 + -2 Combine like terms: 2 + -2 = 0 0 + n = -6.110100926 + -2 n = -6.110100926 + -2 Combine like terms: -6.110100926 + -2 = -8.110100926 n = -8.110100926 Simplifying n = -8.110100926Solution
The solution to the problem is based on the solutions from the subproblems. n = {4.110100926, -8.110100926}
| 1/3*7/9 | | -16t^2+2320t-40000=0 | | 3x+1=3(x+-1)+4 | | 8-2m=34 | | 9=v+3 | | 3(2w+3)=-4(x+1) | | (4+4i)+(5+10i)= | | h(x)=(x-4)(2x^2-2x+1) | | 3=12+y | | 3(2x+4)+2=6x+10 | | 4=12+y | | 5x-8=75 | | -12=6v | | 3.6-(-6/8)= | | 23+8b=-2.4 | | 16x^2-8x=195 | | X^2-3(x+4)=-7x | | 3x+5i=ix+2 | | 8(8-n)=-2(n-5) | | 64x^2-48x=39 | | 3y+19+6y=180 | | -0=-6y+7 | | cos(2x)+9cox(x)+5=0 | | 2.4x=47 | | -4(3+2z)=7+3(2z-4) | | 3y+19=6y | | 4x+8ab=5x-9ab | | 3x^4-2x^3+x^2+8=0 | | 4-1/2m=20 | | 3n+22=4n+32 | | -(4x-10)+3(5x+4)= | | 4*105=548+x |