2x+4+6x^2=5x^2+6x

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Solution for 2x+4+6x^2=5x^2+6x equation: 


Simplifying
2x + 4 + 6x2 = 5x2 + 6x

Reorder the terms:
4 + 2x + 6x2 = 5x2 + 6x

Reorder the terms:
4 + 2x + 6x2 = 6x + 5x2

Solving
4 + 2x + 6x2 = 6x + 5x2

Solving for variable 'x'.

Reorder the terms:
4 + 2x + -6x + 6x2 + -5x2 = 6x + 5x2 + -6x + -5x2

Combine like terms: 2x + -6x = -4x
4 + -4x + 6x2 + -5x2 = 6x + 5x2 + -6x + -5x2

Combine like terms: 6x2 + -5x2 = 1x2
4 + -4x + 1x2 = 6x + 5x2 + -6x + -5x2

Reorder the terms:
4 + -4x + 1x2 = 6x + -6x + 5x2 + -5x2

Combine like terms: 6x + -6x = 0
4 + -4x + 1x2 = 0 + 5x2 + -5x2
4 + -4x + 1x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
4 + -4x + 1x2 = 0

Factor a trinomial.
(2 + -1x)(2 + -1x) = 0


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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {2, 2}

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