0=9x^2+20x+4

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Solution for 0=9x^2+20x+4 equation: 


Simplifying
0 = 9x2 + 20x + 4

Reorder the terms:
0 = 4 + 20x + 9x2

Solving
0 = 4 + 20x + 9x2

Solving for variable 'x'.

Combine like terms: 0 + -4 = -4
-4 + -20x + -9x2 = 4 + 20x + 9x2 + -4 + -20x + -9x2

Reorder the terms:
-4 + -20x + -9x2 = 4 + -4 + 20x + -20x + 9x2 + -9x2

Combine like terms: 4 + -4 = 0
-4 + -20x + -9x2 = 0 + 20x + -20x + 9x2 + -9x2
-4 + -20x + -9x2 = 20x + -20x + 9x2 + -9x2

Combine like terms: 20x + -20x = 0
-4 + -20x + -9x2 = 0 + 9x2 + -9x2
-4 + -20x + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-4 + -20x + -9x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(4 + 20x + 9x2) = 0

Factor a trinomial.
-1((2 + x)(2 + 9x)) = 0

Ignore the factor -1.

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

Simplifying
2 + x = 0

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

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

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

Simplifying
x = -2

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 = {-2, -0.2222222222}

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