0=27x^2+12x-20

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Solution for 0=27x^2+12x-20 equation: 


Simplifying
0 = 27x2 + 12x + -20

Reorder the terms:
0 = -20 + 12x + 27x2

Solving
0 = -20 + 12x + 27x2

Solving for variable 'x'.

Combine like terms: 0 + 20 = 20
20 + -12x + -27x2 = -20 + 12x + 27x2 + 20 + -12x + -27x2

Reorder the terms:
20 + -12x + -27x2 = -20 + 20 + 12x + -12x + 27x2 + -27x2

Combine like terms: -20 + 20 = 0
20 + -12x + -27x2 = 0 + 12x + -12x + 27x2 + -27x2
20 + -12x + -27x2 = 12x + -12x + 27x2 + -27x2

Combine like terms: 12x + -12x = 0
20 + -12x + -27x2 = 0 + 27x2 + -27x2
20 + -12x + -27x2 = 27x2 + -27x2

Combine like terms: 27x2 + -27x2 = 0
20 + -12x + -27x2 = 0

Factor a trinomial.
(2 + -3x)(10 + 9x) = 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 '(10 + 9x)' equal to zero and attempt to solve:

Simplifying
10 + 9x = 0

Solving
10 + 9x = 0

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

Add '-10' to each side of the equation.
10 + -10 + 9x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 9x = 0 + -10
9x = 0 + -10

Combine like terms: 0 + -10 = -10
9x = -10

Divide each side by '9'.
x = -1.111111111

Simplifying
x = -1.111111111
Solution
x = {0.6666666667, -1.111111111}

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