If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3n2 = -9n + -3 Reorder the terms: 3n2 = -3 + -9n Solving 3n2 = -3 + -9n Solving for variable 'n'. Reorder the terms: 3 + 9n + 3n2 = -3 + -9n + 3 + 9n Reorder the terms: 3 + 9n + 3n2 = -3 + 3 + -9n + 9n Combine like terms: -3 + 3 = 0 3 + 9n + 3n2 = 0 + -9n + 9n 3 + 9n + 3n2 = -9n + 9n Combine like terms: -9n + 9n = 0 3 + 9n + 3n2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(1 + 3n + n2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(1 + 3n + n2)' equal to zero and attempt to solve: Simplifying 1 + 3n + n2 = 0 Solving 1 + 3n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-1' to each side of the equation. 1 + 3n + -1 + n2 = 0 + -1 Reorder the terms: 1 + -1 + 3n + n2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3n + n2 = 0 + -1 3n + n2 = 0 + -1 Combine like terms: 0 + -1 = -1 3n + n2 = -1 The n term is 3n. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3n + 2.25 + n2 = -1 + 2.25 Reorder the terms: 2.25 + 3n + n2 = -1 + 2.25 Combine like terms: -1 + 2.25 = 1.25 2.25 + 3n + n2 = 1.25 Factor a perfect square on the left side: (n + 1.5)(n + 1.5) = 1.25 Calculate the square root of the right side: 1.118033989 Break this problem into two subproblems by setting (n + 1.5) equal to 1.118033989 and -1.118033989.Subproblem 1
n + 1.5 = 1.118033989 Simplifying n + 1.5 = 1.118033989 Reorder the terms: 1.5 + n = 1.118033989 Solving 1.5 + n = 1.118033989 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + n = 1.118033989 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + n = 1.118033989 + -1.5 n = 1.118033989 + -1.5 Combine like terms: 1.118033989 + -1.5 = -0.381966011 n = -0.381966011 Simplifying n = -0.381966011Subproblem 2
n + 1.5 = -1.118033989 Simplifying n + 1.5 = -1.118033989 Reorder the terms: 1.5 + n = -1.118033989 Solving 1.5 + n = -1.118033989 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + n = -1.118033989 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + n = -1.118033989 + -1.5 n = -1.118033989 + -1.5 Combine like terms: -1.118033989 + -1.5 = -2.618033989 n = -2.618033989 Simplifying n = -2.618033989Solution
The solution to the problem is based on the solutions from the subproblems. n = {-0.381966011, -2.618033989}Solution
n = {-0.381966011, -2.618033989}
| -16t^2+5576= | | x^4-7x^3+6=0 | | 3p+2e=23 | | n/4-5=n/6+1/2 | | 4193.64a^2+28053.6a-32070500=0 | | 4(x+6)+x=-(4-x) | | 5(x+2)+x=-8(-6-x) | | x(x-5)=x^2+5x+9 | | x(x-7)=x^2+4x+2 | | 9x-8=5x-4 | | (x-1)(x+7)=9 | | 6X+10=10X-6 | | 5x+9=7x-4 | | 2(x-3)-5(x+9)=0 | | 2(x-3)-6x=6 | | 5-3x+5x=1-16a | | 5t^2/2=t/2+2 | | 2t^2/5=t/5+1/32 | | 7x-34=3x+2 | | 8x+x=27 | | (5p+3q)(5p-3p)= | | (p-2q)(2q+p)= | | 8(4s-9)-105=4 | | 2y-1=y+9 | | 6m-7=4m+13 | | 12p-3=7p+32 | | (8A)+3(2A)=140 | | 5(x-3)=45-5x | | 3(2w+9)=7(5+w) | | 2h+5=h-8 | | 2x-9=79-9x | | a^2-900a+54465.22=0 |