8x^2+12x+3=0

Simple and best practice solution for 8x^2+12x+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 8x^2+12x+3=0 equation: 


Simplifying
8x2 + 12x + 3 = 0

Reorder the terms:
3 + 12x + 8x2 = 0

Solving
3 + 12x + 8x2 = 0

Solving for variable 'x'.

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

Divide each side by '8'.
0.375 + 1.5x + x2 = 0

Move the constant term to the right:

Add '-0.375' to each side of the equation.
0.375 + 1.5x + -0.375 + x2 = 0 + -0.375

Reorder the terms:
0.375 + -0.375 + 1.5x + x2 = 0 + -0.375

Combine like terms: 0.375 + -0.375 = 0.000
0.000 + 1.5x + x2 = 0 + -0.375
1.5x + x2 = 0 + -0.375

Combine like terms: 0 + -0.375 = -0.375
1.5x + x2 = -0.375

The x term is 1.5x.  Take half its coefficient (0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
1.5x + 0.5625 + x2 = -0.375 + 0.5625

Reorder the terms:
0.5625 + 1.5x + x2 = -0.375 + 0.5625

Combine like terms: -0.375 + 0.5625 = 0.1875
0.5625 + 1.5x + x2 = 0.1875

Factor a perfect square on the left side:
(x + 0.75)(x + 0.75) = 0.1875

Calculate the square root of the right side: 0.433012702

Break this problem into two subproblems by setting 
(x + 0.75) equal to 0.433012702 and -0.433012702.


Subproblem 1
x + 0.75 = 0.433012702

Simplifying
x + 0.75 = 0.433012702

Reorder the terms:
0.75 + x = 0.433012702

Solving
0.75 + x = 0.433012702

Solving for variable 'x'.

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

Add '-0.75' to each side of the equation.
0.75 + -0.75 + x = 0.433012702 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + x = 0.433012702 + -0.75
x = 0.433012702 + -0.75

Combine like terms: 0.433012702 + -0.75 = -0.316987298
x = -0.316987298

Simplifying
x = -0.316987298


Subproblem 2
x + 0.75 = -0.433012702

Simplifying
x + 0.75 = -0.433012702

Reorder the terms:
0.75 + x = -0.433012702

Solving
0.75 + x = -0.433012702

Solving for variable 'x'.

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

Add '-0.75' to each side of the equation.
0.75 + -0.75 + x = -0.433012702 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + x = -0.433012702 + -0.75
x = -0.433012702 + -0.75

Combine like terms: -0.433012702 + -0.75 = -1.183012702
x = -1.183012702

Simplifying
x = -1.183012702


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.316987298, -1.183012702}

See similar equations:

| 3x^2+43x-30=0 | | 2x^2-5x+7=0 | | 2x^2-5x-88=0 | | 8x^2-18x-5=0 | | 0=n^2-n | | 8x^2+10x+3=0 | | -2(3x+3)=36 | | 7+2x=-7x+43 | | -3x+2+2x=-1 | | -70x+5x=-20 | | 10+5x=45 | | x-9=-10 | | -6(1+7x)=-6 | | -2x+3=31-6x | | 4-5x-2x=-31 | | -1-4x=-33 | | X^2-4y+3=0 | | 4x+15=63 | | 9-14= | | x^2=30-13x | | -5+y=-1 | | -8x+14=-18 | | -7x-2=26 | | -7m=7 | | -3x+17=-4 | | 2x-1=x | | -2x-5=19 | | 0=m^2+3m-54 | | 4x+17=27 | | -4+a=-9 | | -3+m=13 | | -32-4x+x^2=0 |

Equations solver categories