14x^2+11x+3=2x^2-3x+3

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Solution for 14x^2+11x+3=2x^2-3x+3 equation: 


Simplifying
14x2 + 11x + 3 = 2x2 + -3x + 3

Reorder the terms:
3 + 11x + 14x2 = 2x2 + -3x + 3

Reorder the terms:
3 + 11x + 14x2 = 3 + -3x + 2x2

Add '-3' to each side of the equation.
3 + 11x + -3 + 14x2 = 3 + -3x + -3 + 2x2

Reorder the terms:
3 + -3 + 11x + 14x2 = 3 + -3x + -3 + 2x2

Combine like terms: 3 + -3 = 0
0 + 11x + 14x2 = 3 + -3x + -3 + 2x2
11x + 14x2 = 3 + -3x + -3 + 2x2

Reorder the terms:
11x + 14x2 = 3 + -3 + -3x + 2x2

Combine like terms: 3 + -3 = 0
11x + 14x2 = 0 + -3x + 2x2
11x + 14x2 = -3x + 2x2

Solving
11x + 14x2 = -3x + 2x2

Solving for variable 'x'.

Reorder the terms:
11x + 3x + 14x2 + -2x2 = -3x + 2x2 + 3x + -2x2

Combine like terms: 11x + 3x = 14x
14x + 14x2 + -2x2 = -3x + 2x2 + 3x + -2x2

Combine like terms: 14x2 + -2x2 = 12x2
14x + 12x2 = -3x + 2x2 + 3x + -2x2

Reorder the terms:
14x + 12x2 = -3x + 3x + 2x2 + -2x2

Combine like terms: -3x + 3x = 0
14x + 12x2 = 0 + 2x2 + -2x2
14x + 12x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
14x + 12x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(7 + 6x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(7 + 6x)' equal to zero and attempt to solve:

Simplifying
7 + 6x = 0

Solving
7 + 6x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 6x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 6x = 0 + -7
6x = 0 + -7

Combine like terms: 0 + -7 = -7
6x = -7

Divide each side by '6'.
x = -1.166666667

Simplifying
x = -1.166666667
Solution
x = {0, -1.166666667}

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