(x*x)+(x+x)=1.35

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Solution for (x*x)+(x+x)=1.35 equation: 


Simplifying
(x * x) + (x + x) = 1.35

Multiply x * x
(x2) + (x + x) = 1.35
x2 + (x + x) = 1.35

Combine like terms: x + x = 2x
x2 + (2x) = 1.35
x2 + (2x) = 1.35

Reorder the terms:
(2x) + x2 = 1.35

Solving
(2x) + x2 = 1.35

Solving for variable 'x'.

Reorder the terms:
-1.35 + (2x) + x2 = 1.35 + -1.35

Combine like terms: 1.35 + -1.35 = 0.00
-1.35 + (2x) + x2 = 0.00

Begin completing the square.

Move the constant term to the right:

Add '1.35' to each side of the equation.
-1.35 + (2x) + 1.35 + x2 = 0.00 + 1.35

Reorder the terms:
-1.35 + 1.35 + (2x) + x2 = 0.00 + 1.35

Combine like terms: -1.35 + 1.35 = 0.00
0.00 + (2x) + x2 = 0.00 + 1.35
(2x) + x2 = 0.00 + 1.35

Combine like terms: 0.00 + 1.35 = 1.35
(2x) + x2 = 1.35

The x term is (2x).  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
(2x) + 1 + x2 = 1.35 + 1

Reorder the terms:
1 + (2x) + x2 = 1.35 + 1

Combine like terms: 1.35 + 1 = 2.35
1 + (2x) + x2 = 2.35

Factor a perfect square on the left side:
(x + 1)(x + 1) = 2.35

Calculate the square root of the right side: 1.532970972

Break this problem into two subproblems by setting 
(x + 1) equal to 1.532970972 and -1.532970972.


Subproblem 1
x + 1 = 1.532970972

Simplifying
x + 1 = 1.532970972

Reorder the terms:
1 + x = 1.532970972

Solving
1 + x = 1.532970972

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + x = 1.532970972 + -1

Combine like terms: 1 + -1 = 0
0 + x = 1.532970972 + -1
x = 1.532970972 + -1

Combine like terms: 1.532970972 + -1 = 0.532970972
x = 0.532970972

Simplifying
x = 0.532970972


Subproblem 2
x + 1 = -1.532970972

Simplifying
x + 1 = -1.532970972

Reorder the terms:
1 + x = -1.532970972

Solving
1 + x = -1.532970972

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + x = -1.532970972 + -1

Combine like terms: 1 + -1 = 0
0 + x = -1.532970972 + -1
x = -1.532970972 + -1

Combine like terms: -1.532970972 + -1 = -2.532970972
x = -2.532970972

Simplifying
x = -2.532970972


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.532970972, -2.532970972}

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