2x^2-4x+13=4+8x-2x^2

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Solution for 2x^2-4x+13=4+8x-2x^2 equation: 


Simplifying
2x2 + -4x + 13 = 4 + 8x + -2x2

Reorder the terms:
13 + -4x + 2x2 = 4 + 8x + -2x2

Solving
13 + -4x + 2x2 = 4 + 8x + -2x2

Solving for variable 'x'.

Reorder the terms:
13 + -4 + -4x + -8x + 2x2 + 2x2 = 4 + 8x + -2x2 + -4 + -8x + 2x2

Combine like terms: 13 + -4 = 9
9 + -4x + -8x + 2x2 + 2x2 = 4 + 8x + -2x2 + -4 + -8x + 2x2

Combine like terms: -4x + -8x = -12x
9 + -12x + 2x2 + 2x2 = 4 + 8x + -2x2 + -4 + -8x + 2x2

Combine like terms: 2x2 + 2x2 = 4x2
9 + -12x + 4x2 = 4 + 8x + -2x2 + -4 + -8x + 2x2

Reorder the terms:
9 + -12x + 4x2 = 4 + -4 + 8x + -8x + -2x2 + 2x2

Combine like terms: 4 + -4 = 0
9 + -12x + 4x2 = 0 + 8x + -8x + -2x2 + 2x2
9 + -12x + 4x2 = 8x + -8x + -2x2 + 2x2

Combine like terms: 8x + -8x = 0
9 + -12x + 4x2 = 0 + -2x2 + 2x2
9 + -12x + 4x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
9 + -12x + 4x2 = 0

Factor a trinomial.
(3 + -2x)(3 + -2x) = 0


Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {1.5, 1.5}

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