9x^2+45x+3=0

Simple and best practice solution for 9x^2+45x+3=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+45x+3=0 equation: 


Simplifying
9x2 + 45x + 3 = 0

Reorder the terms:
3 + 45x + 9x2 = 0

Solving
3 + 45x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(1 + 15x + 3x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(1 + 15x + 3x2)' equal to zero and attempt to solve:

Simplifying
1 + 15x + 3x2 = 0

Solving
1 + 15x + 3x2 = 0

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

Divide each side by '3'.
0.3333333333 + 5x + x2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + 5x + -0.3333333333 + x2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + 5x + x2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + 5x + x2 = 0 + -0.3333333333
5x + x2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
5x + x2 = -0.3333333333

The x term is 5x.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5x + 6.25 + x2 = -0.3333333333 + 6.25

Reorder the terms:
6.25 + 5x + x2 = -0.3333333333 + 6.25

Combine like terms: -0.3333333333 + 6.25 = 5.9166666667
6.25 + 5x + x2 = 5.9166666667

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = 5.9166666667

Calculate the square root of the right side: 2.43241992

Break this problem into two subproblems by setting 
(x + 2.5) equal to 2.43241992 and -2.43241992.


Subproblem 1
x + 2.5 = 2.43241992

Simplifying
x + 2.5 = 2.43241992

Reorder the terms:
2.5 + x = 2.43241992

Solving
2.5 + x = 2.43241992

Solving for variable 'x'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + x = 2.43241992 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = 2.43241992 + -2.5
x = 2.43241992 + -2.5

Combine like terms: 2.43241992 + -2.5 = -0.06758008
x = -0.06758008

Simplifying
x = -0.06758008


Subproblem 2
x + 2.5 = -2.43241992

Simplifying
x + 2.5 = -2.43241992

Reorder the terms:
2.5 + x = -2.43241992

Solving
2.5 + x = -2.43241992

Solving for variable 'x'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + x = -2.43241992 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = -2.43241992 + -2.5
x = -2.43241992 + -2.5

Combine like terms: -2.43241992 + -2.5 = -4.93241992
x = -4.93241992

Simplifying
x = -4.93241992


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.06758008, -4.93241992}
Solution
x = {-0.06758008, -4.93241992}

See similar equations:

| -11x-4=11-8x | | 35x^2-27x+4=0 | | -7=9(x+9)-(8x-1) | | 3(x-5)=8x-15 | | 7(x+1)-(4x-3)=6 | | -9x+17=7-4x | | 15x-2=7x-34 | | -7=9(9x+9)-(8x-1) | | 12-7x=30+2x | | 10z=7z-7+2z | | 10-3x=2+5x | | 0.9(3x+6)=1.4-(x+2) | | 4x-15=6x-1 | | 8(x-1)-(7x-7)=-7 | | 4x-16=2x+6 | | 6/2= | | 16*16= | | -14x-43=4x-8-11x | | 4x-45=-5x | | 5+3a+(-7a)-(-8)= | | 2g-1=3G+6 | | 9x+10=7x+8 | | 10(x-6)=9x-56 | | 6x+5=2x-7 | | 5y-8=6-3y | | b^3+t^3=0 | | x^2+13x+14=0 | | 8t+7=-8t | | 7(x+3)-(2x-9)=2 | | x^3-12x+4=0 | | -3x+8=2x+48 | | 5(x+7)-(2x-1)=5 |

Equations solver categories