x^2+0.07x-0.026=0

Simple and best practice solution for x^2+0.07x-0.026=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+0.07x-0.026=0 equation: 


Simplifying
x2 + 0.07x + -0.026 = 0

Reorder the terms:
-0.026 + 0.07x + x2 = 0

Solving
-0.026 + 0.07x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '0.026' to each side of the equation.
-0.026 + 0.07x + 0.026 + x2 = 0 + 0.026

Reorder the terms:
-0.026 + 0.026 + 0.07x + x2 = 0 + 0.026

Combine like terms: -0.026 + 0.026 = 0.000
0.000 + 0.07x + x2 = 0 + 0.026
0.07x + x2 = 0 + 0.026

Combine like terms: 0 + 0.026 = 0.026
0.07x + x2 = 0.026

The x term is 0.07x.  Take half its coefficient (0.035).
Square it (0.001225) and add it to both sides.

Add '0.001225' to each side of the equation.
0.07x + 0.001225 + x2 = 0.026 + 0.001225

Reorder the terms:
0.001225 + 0.07x + x2 = 0.026 + 0.001225

Combine like terms: 0.026 + 0.001225 = 0.027225
0.001225 + 0.07x + x2 = 0.027225

Factor a perfect square on the left side:
(x + 0.035)(x + 0.035) = 0.027225

Calculate the square root of the right side: 0.165

Break this problem into two subproblems by setting 
(x + 0.035) equal to 0.165 and -0.165.


Subproblem 1
x + 0.035 = 0.165

Simplifying
x + 0.035 = 0.165

Reorder the terms:
0.035 + x = 0.165

Solving
0.035 + x = 0.165

Solving for variable 'x'.

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

Add '-0.035' to each side of the equation.
0.035 + -0.035 + x = 0.165 + -0.035

Combine like terms: 0.035 + -0.035 = 0.000
0.000 + x = 0.165 + -0.035
x = 0.165 + -0.035

Combine like terms: 0.165 + -0.035 = 0.13
x = 0.13

Simplifying
x = 0.13


Subproblem 2
x + 0.035 = -0.165

Simplifying
x + 0.035 = -0.165

Reorder the terms:
0.035 + x = -0.165

Solving
0.035 + x = -0.165

Solving for variable 'x'.

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

Add '-0.035' to each side of the equation.
0.035 + -0.035 + x = -0.165 + -0.035

Combine like terms: 0.035 + -0.035 = 0.000
0.000 + x = -0.165 + -0.035
x = -0.165 + -0.035

Combine like terms: -0.165 + -0.035 = -0.2
x = -0.2

Simplifying
x = -0.2


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.13, -0.2}

See similar equations:

| 60026+99057+33282+80729+9748= | | y-3+65=90 | | (2x+5w)(5x-8w)= | | 0.3+2.0+0.2x=4 | | x-3+46=180 | | 2(-x-4)+3=-7x+5+5x | | x+2x+24+x=180 | | f(x)=12x^2-8x | | 7x+2x=2(x-3) | | y+3=46 | | -3-13=7x+17-6x | | 3y-4=4x | | -64^1/3 | | 3B-4A=15 | | 5(x-4)+30=4(x+6) | | 120-x=10+x+60 | | 2(6)+y=10 | | 25x+1=45x-3 | | x^2+2y^2=z^2 | | x^22y^2=z^2 | | 100+x=2x+20+3x | | 7-n/180 | | -6y=-12/7 | | -16=-4/7x | | -5/9v=15 | | 6/5=3y | | x+105=60 | | (X*4)+x+(x-30)=180 | | (5^2)1/2 | | .666x-6=9 | | 5y+11+51+30y+13=180 | | 2(x+5)+6=20 |

Equations solver categories