4(10n^2+6n+9)=0

Simple and best practice solution for 4(10n^2+6n+9)=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 4(10n^2+6n+9)=0 equation: 


Simplifying
4(10n2 + 6n + 9) = 0

Reorder the terms:
4(9 + 6n + 10n2) = 0
(9 * 4 + 6n * 4 + 10n2 * 4) = 0
(36 + 24n + 40n2) = 0

Solving
36 + 24n + 40n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '4'.
4(9 + 6n + 10n2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(9 + 6n + 10n2)' equal to zero and attempt to solve:

Simplifying
9 + 6n + 10n2 = 0

Solving
9 + 6n + 10n2 = 0

Begin completing the square.  Divide all terms by
10 the coefficient of the squared term: 

Divide each side by '10'.
0.9 + 0.6n + n2 = 0.0

Move the constant term to the right:

Add '-0.9' to each side of the equation.
0.9 + 0.6n + -0.9 + n2 = 0.0 + -0.9

Reorder the terms:
0.9 + -0.9 + 0.6n + n2 = 0.0 + -0.9

Combine like terms: 0.9 + -0.9 = 0.0
0.0 + 0.6n + n2 = 0.0 + -0.9
0.6n + n2 = 0.0 + -0.9

Combine like terms: 0.0 + -0.9 = -0.9
0.6n + n2 = -0.9

The n term is 0.6n.  Take half its coefficient (0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
0.6n + 0.09 + n2 = -0.9 + 0.09

Reorder the terms:
0.09 + 0.6n + n2 = -0.9 + 0.09

Combine like terms: -0.9 + 0.09 = -0.81
0.09 + 0.6n + n2 = -0.81

Factor a perfect square on the left side:
(n + 0.3)(n + 0.3) = -0.81

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| 5x-3y=-23 | | -(6m-5)=-(8+5m) | | -7x=10x+3 | | -13-7y=64 | | 3x+4(2-3x)=10 | | x=1.6+0.2y | | -sin^2x+2cosx=-2 | | -116=8x+6(x-3) | | 3x+2y+2z=54 | | 3*10+1= | | 6x^2+2x-5x= | | 9.1+y/6=-10.1 | | 3.5+a=10.8 | | -7x-7(-2x-5)=112 | | 10+3x+1= | | .56-.4(2.1y+3)=.2(2y+6.1) | | 30+(-23)= | | 3(-.6+.8y)+y=5 | | -t^2+7t-10=0 | | 15k+6a=-7 | | I+I+19=I+I+19 | | 8x+5y=360 | | x^5-8x^2+4x=-16 | | 2m(m+4)=0 | | 6+b=5 | | 3(6m-7)=-147 | | 10-2(3x+2)=-18 | | 3a+2(a-6)=-37 | | -5x-3(4x-13)=-63 | | 4(2x-3)=2x+36 | | s+150ver-11=-14 | | 30x-40xy= |

Equations solver categories