x^2+2.6x+1.69=

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Solution for x^2+2.6x+1.69= equation:


Simplifying
x2 + 2.6x + 1.69 = 0

Reorder the terms:
1.69 + 2.6x + x2 = 0

Solving
1.69 + 2.6x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-1.69' to each side of the equation.
1.69 + 2.6x + -1.69 + x2 = 0 + -1.69

Reorder the terms:
1.69 + -1.69 + 2.6x + x2 = 0 + -1.69

Combine like terms: 1.69 + -1.69 = 0.00
0.00 + 2.6x + x2 = 0 + -1.69
2.6x + x2 = 0 + -1.69

Combine like terms: 0 + -1.69 = -1.69
2.6x + x2 = -1.69

The x term is 2.6x.  Take half its coefficient (1.3).
Square it (1.69) and add it to both sides.

Add '1.69' to each side of the equation.
2.6x + 1.69 + x2 = -1.69 + 1.69

Reorder the terms:
1.69 + 2.6x + x2 = -1.69 + 1.69

Combine like terms: -1.69 + 1.69 = 0.00
1.69 + 2.6x + x2 = 0.00

Factor a perfect square on the left side:
(x + 1.3)(x + 1.3) = 0.00

Calculate the square root of the right side: 0.00

Break this problem into two subproblems by setting 
(x + 1.3) equal to 0.00 and 0.00.

Subproblem 1

x + 1.3 = 0.00 Simplifying x + 1.3 = 0.00 Reorder the terms: 1.3 + x = 0.00 Solving 1.3 + x = 0.00 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.3' to each side of the equation. 1.3 + -1.3 + x = 0.00 + -1.3 Combine like terms: 1.3 + -1.3 = 0.0 0.0 + x = 0.00 + -1.3 x = 0.00 + -1.3 Combine like terms: 0.00 + -1.3 = -1.3 x = -1.3 Simplifying x = -1.3

Subproblem 2

x + 1.3 = 0.00 Simplifying x + 1.3 = 0.00 Reorder the terms: 1.3 + x = 0.00 Solving 1.3 + x = 0.00 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.3' to each side of the equation. 1.3 + -1.3 + x = 0.00 + -1.3 Combine like terms: 1.3 + -1.3 = 0.0 0.0 + x = 0.00 + -1.3 x = 0.00 + -1.3 Combine like terms: 0.00 + -1.3 = -1.3 x = -1.3 Simplifying x = -1.3

Solution

The solution to the problem is based on the solutions from the subproblems. x = {-1.3, -1.3}

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