x^2+0.8x+0.12=

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Solution for x^2+0.8x+0.12= equation:


Simplifying
x2 + 0.8x + 0.12 = 0

Reorder the terms:
0.12 + 0.8x + x2 = 0

Solving
0.12 + 0.8x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-0.12' to each side of the equation.
0.12 + 0.8x + -0.12 + x2 = 0 + -0.12

Reorder the terms:
0.12 + -0.12 + 0.8x + x2 = 0 + -0.12

Combine like terms: 0.12 + -0.12 = 0.00
0.00 + 0.8x + x2 = 0 + -0.12
0.8x + x2 = 0 + -0.12

Combine like terms: 0 + -0.12 = -0.12
0.8x + x2 = -0.12

The x term is 0.8x.  Take half its coefficient (0.4).
Square it (0.16) and add it to both sides.

Add '0.16' to each side of the equation.
0.8x + 0.16 + x2 = -0.12 + 0.16

Reorder the terms:
0.16 + 0.8x + x2 = -0.12 + 0.16

Combine like terms: -0.12 + 0.16 = 0.04
0.16 + 0.8x + x2 = 0.04

Factor a perfect square on the left side:
(x + 0.4)(x + 0.4) = 0.04

Calculate the square root of the right side: 0.2

Break this problem into two subproblems by setting 
(x + 0.4) equal to 0.2 and -0.2.

Subproblem 1

x + 0.4 = 0.2 Simplifying x + 0.4 = 0.2 Reorder the terms: 0.4 + x = 0.2 Solving 0.4 + x = 0.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4' to each side of the equation. 0.4 + -0.4 + x = 0.2 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + x = 0.2 + -0.4 x = 0.2 + -0.4 Combine like terms: 0.2 + -0.4 = -0.2 x = -0.2 Simplifying x = -0.2

Subproblem 2

x + 0.4 = -0.2 Simplifying x + 0.4 = -0.2 Reorder the terms: 0.4 + x = -0.2 Solving 0.4 + x = -0.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4' to each side of the equation. 0.4 + -0.4 + x = -0.2 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + x = -0.2 + -0.4 x = -0.2 + -0.4 Combine like terms: -0.2 + -0.4 = -0.6 x = -0.6 Simplifying x = -0.6

Solution

The solution to the problem is based on the solutions from the subproblems. x = {-0.2, -0.6}

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