-16x^2-12x+2=0

Simple and best practice solution for -16x^2-12x+2=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 -16x^2-12x+2=0 equation: 


Simplifying
-16x2 + -12x + 2 = 0

Reorder the terms:
2 + -12x + -16x2 = 0

Solving
2 + -12x + -16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -6x + -8x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(1 + -6x + -8x2)' equal to zero and attempt to solve:

Simplifying
1 + -6x + -8x2 = 0

Solving
1 + -6x + -8x2 = 0

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

Divide each side by '-8'.
-0.125 + 0.75x + x2 = 0

Move the constant term to the right:

Add '0.125' to each side of the equation.
-0.125 + 0.75x + 0.125 + x2 = 0 + 0.125

Reorder the terms:
-0.125 + 0.125 + 0.75x + x2 = 0 + 0.125

Combine like terms: -0.125 + 0.125 = 0.000
0.000 + 0.75x + x2 = 0 + 0.125
0.75x + x2 = 0 + 0.125

Combine like terms: 0 + 0.125 = 0.125
0.75x + x2 = 0.125

The x term is 0.75x.  Take half its coefficient (0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
0.75x + 0.140625 + x2 = 0.125 + 0.140625

Reorder the terms:
0.140625 + 0.75x + x2 = 0.125 + 0.140625

Combine like terms: 0.125 + 0.140625 = 0.265625
0.140625 + 0.75x + x2 = 0.265625

Factor a perfect square on the left side:
(x + 0.375)(x + 0.375) = 0.265625

Calculate the square root of the right side: 0.515388203

Break this problem into two subproblems by setting 
(x + 0.375) equal to 0.515388203 and -0.515388203.


Subproblem 1
x + 0.375 = 0.515388203

Simplifying
x + 0.375 = 0.515388203

Reorder the terms:
0.375 + x = 0.515388203

Solving
0.375 + x = 0.515388203

Solving for variable 'x'.

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

Add '-0.375' to each side of the equation.
0.375 + -0.375 + x = 0.515388203 + -0.375

Combine like terms: 0.375 + -0.375 = 0.000
0.000 + x = 0.515388203 + -0.375
x = 0.515388203 + -0.375

Combine like terms: 0.515388203 + -0.375 = 0.140388203
x = 0.140388203

Simplifying
x = 0.140388203


Subproblem 2
x + 0.375 = -0.515388203

Simplifying
x + 0.375 = -0.515388203

Reorder the terms:
0.375 + x = -0.515388203

Solving
0.375 + x = -0.515388203

Solving for variable 'x'.

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

Add '-0.375' to each side of the equation.
0.375 + -0.375 + x = -0.515388203 + -0.375

Combine like terms: 0.375 + -0.375 = 0.000
0.000 + x = -0.515388203 + -0.375
x = -0.515388203 + -0.375

Combine like terms: -0.515388203 + -0.375 = -0.890388203
x = -0.890388203

Simplifying
x = -0.890388203


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.140388203, -0.890388203}
Solution
x = {0.140388203, -0.890388203}

See similar equations:

| 150/2= | | (a*11)+23=144 | | (a*a)+23=144 | | x-(4)=10 | | 5x/-5=50 | | a*a+23=144 | | -1.23=x-4.56 | | -4.3=x-(-3) | | 2x+5=24-x | | m+0.02+2.1m=-1.45-4.81m | | 7x^2+140=-63x | | 3p+2q=-24 | | 7x(5/4)=2 | | p^2=-6+5p | | 4.32-x=17.21 | | 6m-242=4m | | -5=x-14.3 | | 4z^2-9z-9=0 | | (d+1)(d-2)(d+3)=0 | | x-(-17)=48 | | x=c+7 | | 8x^2-96x=-280 | | y+2y+3y=42whatsy | | x+4.5=8 | | x^2+y^2+6y=7 | | 6.2+x=-9.7 | | 1+234= | | 8z=10z+12 | | 4(3x+1)=48 | | 2y+4y=48 | | 12=3y+27 | | y^2-y*5-14=0 |

Equations solver categories