16x^2+8x-1=0

Simple and best practice solution for 16x^2+8x-1=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+8x-1=0 equation: 


Simplifying
16x2 + 8x + -1 = 0

Reorder the terms:
-1 + 8x + 16x2 = 0

Solving
-1 + 8x + 16x2 = 0

Solving for variable 'x'.

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

Divide each side by '16'.
-0.0625 + 0.5x + x2 = 0

Move the constant term to the right:

Add '0.0625' to each side of the equation.
-0.0625 + 0.5x + 0.0625 + x2 = 0 + 0.0625

Reorder the terms:
-0.0625 + 0.0625 + 0.5x + x2 = 0 + 0.0625

Combine like terms: -0.0625 + 0.0625 = 0.0000
0.0000 + 0.5x + x2 = 0 + 0.0625
0.5x + x2 = 0 + 0.0625

Combine like terms: 0 + 0.0625 = 0.0625
0.5x + x2 = 0.0625

The x term is 0.5x.  Take half its coefficient (0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
0.5x + 0.0625 + x2 = 0.0625 + 0.0625

Reorder the terms:
0.0625 + 0.5x + x2 = 0.0625 + 0.0625

Combine like terms: 0.0625 + 0.0625 = 0.125
0.0625 + 0.5x + x2 = 0.125

Factor a perfect square on the left side:
(x + 0.25)(x + 0.25) = 0.125

Calculate the square root of the right side: 0.353553391

Break this problem into two subproblems by setting 
(x + 0.25) equal to 0.353553391 and -0.353553391.


Subproblem 1
x + 0.25 = 0.353553391

Simplifying
x + 0.25 = 0.353553391

Reorder the terms:
0.25 + x = 0.353553391

Solving
0.25 + x = 0.353553391

Solving for variable 'x'.

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

Add '-0.25' to each side of the equation.
0.25 + -0.25 + x = 0.353553391 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + x = 0.353553391 + -0.25
x = 0.353553391 + -0.25

Combine like terms: 0.353553391 + -0.25 = 0.103553391
x = 0.103553391

Simplifying
x = 0.103553391


Subproblem 2
x + 0.25 = -0.353553391

Simplifying
x + 0.25 = -0.353553391

Reorder the terms:
0.25 + x = -0.353553391

Solving
0.25 + x = -0.353553391

Solving for variable 'x'.

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

Add '-0.25' to each side of the equation.
0.25 + -0.25 + x = -0.353553391 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + x = -0.353553391 + -0.25
x = -0.353553391 + -0.25

Combine like terms: -0.353553391 + -0.25 = -0.603553391
x = -0.603553391

Simplifying
x = -0.603553391


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.103553391, -0.603553391}

See similar equations:

| -10x+16=25x+15 | | 67-7x=29x+19 | | 14-9x=51-16x | | 15X+-3=17X+-1 | | x^2-2x+3=-x^2-2x+3 | | 32x+5=1 | | 15X-3=17X-1 | | 2y+97=177 | | -x^3-5x^2-5=0 | | exp(-6x)=0.75 | | -22-4(-6)= | | 3.14r^2=14 | | -23y=138 | | (x-3)*(x-3)+(x-3)(1-2x)=0 | | 7x-3x^2=0 | | -37y=333 | | 15+2(x-3)=6(x-5)+3x-(5x-4) | | -260-37y=73 | | 5x^7=50 | | 5*-52= | | 2(9-x)-3(x-4)=2x-6 | | -5+8= | | 2-3+5= | | -15+1= | | 3x-5=10x-2+x | | x+6y=-52 | | 4-3-15= | | (x*20)+(y*10)=300 | | x=-1+5(1.9) | | x=-1+5(2.4) | | 2X^2-15x+28=0 | | -38=-20y |

Equations solver categories