9x^2+12x+30=0

Simple and best practice solution for 9x^2+12x+30=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 9x^2+12x+30=0 equation: 


Simplifying
9x2 + 12x + 30 = 0

Reorder the terms:
30 + 12x + 9x2 = 0

Solving
30 + 12x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(10 + 4x + 3x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(10 + 4x + 3x2)' equal to zero and attempt to solve:

Simplifying
10 + 4x + 3x2 = 0

Solving
10 + 4x + 3x2 = 0

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

Divide each side by '3'.
3.333333333 + 1.333333333x + x2 = 0

Move the constant term to the right:

Add '-3.333333333' to each side of the equation.
3.333333333 + 1.333333333x + -3.333333333 + x2 = 0 + -3.333333333

Reorder the terms:
3.333333333 + -3.333333333 + 1.333333333x + x2 = 0 + -3.333333333

Combine like terms: 3.333333333 + -3.333333333 = 0.000000000
0.000000000 + 1.333333333x + x2 = 0 + -3.333333333
1.333333333x + x2 = 0 + -3.333333333

Combine like terms: 0 + -3.333333333 = -3.333333333
1.333333333x + x2 = -3.333333333

The x term is 1.333333333x.  Take half its coefficient (0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
1.333333333x + 0.4444444442 + x2 = -3.333333333 + 0.4444444442

Reorder the terms:
0.4444444442 + 1.333333333x + x2 = -3.333333333 + 0.4444444442

Combine like terms: -3.333333333 + 0.4444444442 = -2.8888888888
0.4444444442 + 1.333333333x + x2 = -2.8888888888

Factor a perfect square on the left side:
(x + 0.6666666665)(x + 0.6666666665) = -2.8888888888

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:

| 13x-9=x+7 | | (x)(x+3)=0 | | 6x^2+20x+16= | | (9r^2/25)-r^2 | | 2/3(x-5)=-4x | | -(8x+4)+5x=0 | | 26a=8 | | 6x^2-8x-6=0 | | 3x^12y-15=0 | | (x+1)(2x+3)=(2x+1)(x-1) | | X^2+2XY+9y^2=144 | | (x-1)(2x+3)=(2x+1)(x-1) | | X^2+2XY+81=144 | | X^2+2XY+y^2=144 | | 142=x*x-2 | | 142=x*x+2 | | 3=10*log*(50/x) | | 3=10*log(50/x) | | 3=10log(50/x) | | (s-4)2=-2s | | 10log(50/x) | | (5*x)/y=6.7 | | 4y-12=7 | | 125-27.00912= | | (3x^2-5x-29)+(5x^2+8x)= | | 2X^2+8X=X^2-6X+9 | | (2x+6)(x+4)=0 | | a^2-3a+7= | | (2t-3)2=2t^2+5t-26 | | 6x+9=9x-3 | | (s+4)2=-2s | | -2(3x-3xy)+xy=0 |

Equations solver categories