27a^2x^2+45a^2x+36a^2=9a^2

Simple and best practice solution for 27a^2x^2+45a^2x+36a^2=9a^2 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 27a^2x^2+45a^2x+36a^2=9a^2 equation: 


Simplifying
27a2x2 + 45a2x + 36a2 = 9a2

Reorder the terms:
36a2 + 45a2x + 27a2x2 = 9a2

Solving
36a2 + 45a2x + 27a2x2 = 9a2

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-9a2' to each side of the equation.
36a2 + 45a2x + -9a2 + 27a2x2 = 9a2 + -9a2

Reorder the terms:
36a2 + -9a2 + 45a2x + 27a2x2 = 9a2 + -9a2

Combine like terms: 36a2 + -9a2 = 27a2
27a2 + 45a2x + 27a2x2 = 9a2 + -9a2

Combine like terms: 9a2 + -9a2 = 0
27a2 + 45a2x + 27a2x2 = 0

Factor out the Greatest Common Factor (GCF), '9a2'.
9a2(3 + 5x + 3x2) = 0

Ignore the factor 9.

Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve:

Simplifying
a2 = 0

Solving
a2 = 0

Move all terms containing a to the left, all other terms to the right.

Simplifying
a2 = 0

Take the square root of each side:
a = {0}

Subproblem 2
Set the factor '(3 + 5x + 3x2)' equal to zero and attempt to solve:

Simplifying
3 + 5x + 3x2 = 0

Solving
3 + 5x + 3x2 = 0

Move all terms containing a to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + 5x + -3 + 3x2 = 0 + -3

Reorder the terms:
3 + -3 + 5x + 3x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5x + 3x2 = 0 + -3
5x + 3x2 = 0 + -3

Combine like terms: 0 + -3 = -3
5x + 3x2 = -3

Add '-5x' to each side of the equation.
5x + -5x + 3x2 = -3 + -5x

Combine like terms: 5x + -5x = 0
0 + 3x2 = -3 + -5x
3x2 = -3 + -5x

Add '-3x2' to each side of the equation.
3x2 + -3x2 = -3 + -5x + -3x2

Combine like terms: 3x2 + -3x2 = 0
0 = -3 + -5x + -3x2

Simplifying
0 = -3 + -5x + -3x2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}

See similar equations:

| 15.3+13.7+1= | | 4(x+3)=3x+4 | | x^3+3x^2-4x+2=0 | | .7+.3= | | 3.9x+44.1=13.7-11.3x | | 7+2p-3=5p+13-2p | | 144*x^2=x^2+100 | | 2X+(3-X)=6 | | x^2*100=x^2+144 | | 3x+3=3x-11 | | 5x+34=14x-6 | | u^2-56=0 | | 2x^2+2y^2-8x+5y+3=0 | | z^2-56=0 | | 4(2n-5)=3n+2 | | ln(4x+2)=ln(7x-10) | | -7x^2+6+2x-12-9x^2= | | -35=7y+4(y-5) | | 7x+12=6x+14 | | x+14=6x-21 | | 2cos^2x+3cosx-5=0 | | 6x+2(-3x-2)=-4 | | 12*8-13=12x | | 11s+17(1870-s)= | | -2(-3v+y)+4(-y-5v)= | | 3x+5+7x=2*10x | | 15+-3y=13 | | 3x^3=15x^2 | | 48n^2+12n=0 | | 8y-5=35 | | -11+13x=4x | | 12-x=9x |

Equations solver categories