x^2+0.158x-0.158=0

Simple and best practice solution for x^2+0.158x-0.158=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 x^2+0.158x-0.158=0 equation:


Simplifying
x2 + 0.158x + -0.158 = 0

Reorder the terms:
-0.158 + 0.158x + x2 = 0

Solving
-0.158 + 0.158x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '0.158' to each side of the equation.
-0.158 + 0.158x + 0.158 + x2 = 0 + 0.158

Reorder the terms:
-0.158 + 0.158 + 0.158x + x2 = 0 + 0.158

Combine like terms: -0.158 + 0.158 = 0.000
0.000 + 0.158x + x2 = 0 + 0.158
0.158x + x2 = 0 + 0.158

Combine like terms: 0 + 0.158 = 0.158
0.158x + x2 = 0.158

The x term is 0.158x.  Take half its coefficient (0.079).
Square it (0.006241) and add it to both sides.

Add '0.006241' to each side of the equation.
0.158x + 0.006241 + x2 = 0.158 + 0.006241

Reorder the terms:
0.006241 + 0.158x + x2 = 0.158 + 0.006241

Combine like terms: 0.158 + 0.006241 = 0.164241
0.006241 + 0.158x + x2 = 0.164241

Factor a perfect square on the left side:
(x + 0.079)(x + 0.079) = 0.164241

Calculate the square root of the right side: 0.405266579

Break this problem into two subproblems by setting 
(x + 0.079) equal to 0.405266579 and -0.405266579.

Subproblem 1

x + 0.079 = 0.405266579 Simplifying x + 0.079 = 0.405266579 Reorder the terms: 0.079 + x = 0.405266579 Solving 0.079 + x = 0.405266579 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.079' to each side of the equation. 0.079 + -0.079 + x = 0.405266579 + -0.079 Combine like terms: 0.079 + -0.079 = 0.000 0.000 + x = 0.405266579 + -0.079 x = 0.405266579 + -0.079 Combine like terms: 0.405266579 + -0.079 = 0.326266579 x = 0.326266579 Simplifying x = 0.326266579

Subproblem 2

x + 0.079 = -0.405266579 Simplifying x + 0.079 = -0.405266579 Reorder the terms: 0.079 + x = -0.405266579 Solving 0.079 + x = -0.405266579 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.079' to each side of the equation. 0.079 + -0.079 + x = -0.405266579 + -0.079 Combine like terms: 0.079 + -0.079 = 0.000 0.000 + x = -0.405266579 + -0.079 x = -0.405266579 + -0.079 Combine like terms: -0.405266579 + -0.079 = -0.484266579 x = -0.484266579 Simplifying x = -0.484266579

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.326266579, -0.484266579}

See similar equations:

| 5x+17=5x-83 | | 8-y=40 | | -13=5(n+4m)-2m | | 2n^2+2n-40=0 | | 3n-22=-70 | | -3k^2+12=0 | | 2x+7x=162 | | 21(2.380952381)= | | 2x-12=10x+5 | | 5+4-4q= | | 2b^2-9b=0 | | 5x+3=4x-10 | | 3.14=tan-1(5w)-w | | -10.5=7p | | 45X^2+48X-21=0 | | 7=38 | | 14X^2+21X-35=0 | | X=y^2-13 | | 2y+3+9=11 | | 14X^2+77X+63=0 | | 11x^2-7x+12=0 | | 45X^2+56X-45=0 | | 1x+1=19 | | 27X^2+18X-9=0 | | 4x-2-9=-1 | | 117+57+2x=180 | | 32X^2+88X+56=0 | | 24x+2=-46 | | 72X^2-2X-4=0 | | 8-2(x-4)=3(x-6)+2 | | 0=10x-4.905x^2 | | f(x)=2x^3-10x^2-8x+40 |

Equations solver categories