5x^2+13x+9=0

Simple and best practice solution for 5x^2+13x+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 5x^2+13x+9=0 equation:


Simplifying
5x2 + 13x + 9 = 0

Reorder the terms:
9 + 13x + 5x2 = 0

Solving
9 + 13x + 5x2 = 0

Solving for variable 'x'.

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

Divide each side by '5'.
1.8 + 2.6x + x2 = 0

Move the constant term to the right:

Add '-1.8' to each side of the equation.
1.8 + 2.6x + -1.8 + x2 = 0 + -1.8

Reorder the terms:
1.8 + -1.8 + 2.6x + x2 = 0 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + 2.6x + x2 = 0 + -1.8
2.6x + x2 = 0 + -1.8

Combine like terms: 0 + -1.8 = -1.8
2.6x + x2 = -1.8

The x term is 2.6x.  Take half its coefficient (1.3).
Square it (1.69) and add it to both sides.

Add '1.69' to each side of the equation.
2.6x + 1.69 + x2 = -1.8 + 1.69

Reorder the terms:
1.69 + 2.6x + x2 = -1.8 + 1.69

Combine like terms: -1.8 + 1.69 = -0.11
1.69 + 2.6x + x2 = -0.11

Factor a perfect square on the left side:
(x + 1.3)(x + 1.3) = -0.11

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 6p^2+p-1=0 | | 7x+52=3x+24 | | 3,6=9/2 | | 2d+1=19 | | -2x-18=x+6 | | -33(13x)+28(25x)=-2439 | | 3x-1y-8=0 | | 3x+10=5x-6 | | 6x-5=28+11 | | 5=c-6 | | 94-118=-8(-4y)-17(2y)+y | | -x-4=3x+4 | | 14+7z=56 | | -8a-3=11 | | 6q+14=20 | | 2z+10=20 | | 2s+11=19 | | -9+3y=-18 | | 3x+13=x+3 | | 0.3x+1.2=6.0 | | -4=-p | | -640=-20(-4b) | | 3x+2=5x-28 | | -3x+2=x+10 | | -3(-2z)=24 | | 7+2s=11 | | 50=-5(5z) | | -15m+7m=18-58 | | 3t+4t=6+23-8 | | 4x+16=-35-8x | | X-12=5x+16 | | 2f-3=1 |

Equations solver categories