2x^2-6x+29=4+14x-2x^2

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Solution for 2x^2-6x+29=4+14x-2x^2 equation: 


Simplifying
2x2 + -6x + 29 = 4 + 14x + -2x2

Reorder the terms:
29 + -6x + 2x2 = 4 + 14x + -2x2

Solving
29 + -6x + 2x2 = 4 + 14x + -2x2

Solving for variable 'x'.

Reorder the terms:
29 + -4 + -6x + -14x + 2x2 + 2x2 = 4 + 14x + -2x2 + -4 + -14x + 2x2

Combine like terms: 29 + -4 = 25
25 + -6x + -14x + 2x2 + 2x2 = 4 + 14x + -2x2 + -4 + -14x + 2x2

Combine like terms: -6x + -14x = -20x
25 + -20x + 2x2 + 2x2 = 4 + 14x + -2x2 + -4 + -14x + 2x2

Combine like terms: 2x2 + 2x2 = 4x2
25 + -20x + 4x2 = 4 + 14x + -2x2 + -4 + -14x + 2x2

Reorder the terms:
25 + -20x + 4x2 = 4 + -4 + 14x + -14x + -2x2 + 2x2

Combine like terms: 4 + -4 = 0
25 + -20x + 4x2 = 0 + 14x + -14x + -2x2 + 2x2
25 + -20x + 4x2 = 14x + -14x + -2x2 + 2x2

Combine like terms: 14x + -14x = 0
25 + -20x + 4x2 = 0 + -2x2 + 2x2
25 + -20x + 4x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
25 + -20x + 4x2 = 0

Factor a trinomial.
(5 + -2x)(5 + -2x) = 0


Subproblem 1
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5

Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {2.5, 2.5}

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