3x^2-5x-9=-9

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Solution for 3x^2-5x-9=-9 equation: 


Simplifying
3x2 + -5x + -9 = -9

Reorder the terms:
-9 + -5x + 3x2 = -9

Add '9' to each side of the equation.
-9 + -5x + 9 + 3x2 = -9 + 9

Reorder the terms:
-9 + 9 + -5x + 3x2 = -9 + 9

Combine like terms: -9 + 9 = 0
0 + -5x + 3x2 = -9 + 9
-5x + 3x2 = -9 + 9

Combine like terms: -9 + 9 = 0
-5x + 3x2 = 0

Solving
-5x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-5 + 3x) = 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 '(-5 + 3x)' equal to zero and attempt to solve:

Simplifying
-5 + 3x = 0

Solving
-5 + 3x = 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 + 3x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 3x = 0 + 5
3x = 0 + 5

Combine like terms: 0 + 5 = 5
3x = 5

Divide each side by '3'.
x = 1.666666667

Simplifying
x = 1.666666667
Solution
x = {0, 1.666666667}

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