3x^2-2x+1=-3x^2+9x+11

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Solution for 3x^2-2x+1=-3x^2+9x+11 equation: 


Simplifying
3x2 + -2x + 1 = -3x2 + 9x + 11

Reorder the terms:
1 + -2x + 3x2 = -3x2 + 9x + 11

Reorder the terms:
1 + -2x + 3x2 = 11 + 9x + -3x2

Solving
1 + -2x + 3x2 = 11 + 9x + -3x2

Solving for variable 'x'.

Reorder the terms:
1 + -11 + -2x + -9x + 3x2 + 3x2 = 11 + 9x + -3x2 + -11 + -9x + 3x2

Combine like terms: 1 + -11 = -10
-10 + -2x + -9x + 3x2 + 3x2 = 11 + 9x + -3x2 + -11 + -9x + 3x2

Combine like terms: -2x + -9x = -11x
-10 + -11x + 3x2 + 3x2 = 11 + 9x + -3x2 + -11 + -9x + 3x2

Combine like terms: 3x2 + 3x2 = 6x2
-10 + -11x + 6x2 = 11 + 9x + -3x2 + -11 + -9x + 3x2

Reorder the terms:
-10 + -11x + 6x2 = 11 + -11 + 9x + -9x + -3x2 + 3x2

Combine like terms: 11 + -11 = 0
-10 + -11x + 6x2 = 0 + 9x + -9x + -3x2 + 3x2
-10 + -11x + 6x2 = 9x + -9x + -3x2 + 3x2

Combine like terms: 9x + -9x = 0
-10 + -11x + 6x2 = 0 + -3x2 + 3x2
-10 + -11x + 6x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-10 + -11x + 6x2 = 0

Factor a trinomial.
(-2 + -3x)(5 + -2x) = 0


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

Simplifying
-2 + -3x = 0

Solving
-2 + -3x = 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 + -3x = 0 + 2

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

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

Divide each side by '-3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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 = {-0.6666666667, 2.5}

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