14x+4=9x^2+12x+4

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Solution for 14x+4=9x^2+12x+4 equation: 


Simplifying
14x + 4 = 9x2 + 12x + 4

Reorder the terms:
4 + 14x = 9x2 + 12x + 4

Reorder the terms:
4 + 14x = 4 + 12x + 9x2

Add '-4' to each side of the equation.
4 + -4 + 14x = 4 + 12x + -4 + 9x2

Combine like terms: 4 + -4 = 0
0 + 14x = 4 + 12x + -4 + 9x2
14x = 4 + 12x + -4 + 9x2

Reorder the terms:
14x = 4 + -4 + 12x + 9x2

Combine like terms: 4 + -4 = 0
14x = 0 + 12x + 9x2
14x = 12x + 9x2

Solving
14x = 12x + 9x2

Solving for variable 'x'.

Combine like terms: 14x + -12x = 2x
2x + -9x2 = 12x + 9x2 + -12x + -9x2

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

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

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(2 + -9x) = 0


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 '(2 + -9x)' equal to zero and attempt to solve:

Simplifying
2 + -9x = 0

Solving
2 + -9x = 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 + -9x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -9x = 0 + -2
-9x = 0 + -2

Combine like terms: 0 + -2 = -2
-9x = -2

Divide each side by '-9'.
x = 0.2222222222

Simplifying
x = 0.2222222222
Solution
x = {0, 0.2222222222}

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