2x^2+9x+13=13

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Solution for 2x^2+9x+13=13 equation: 


Simplifying
2x2 + 9x + 13 = 13

Reorder the terms:
13 + 9x + 2x2 = 13

Add '-13' to each side of the equation.
13 + 9x + -13 + 2x2 = 13 + -13

Reorder the terms:
13 + -13 + 9x + 2x2 = 13 + -13

Combine like terms: 13 + -13 = 0
0 + 9x + 2x2 = 13 + -13
9x + 2x2 = 13 + -13

Combine like terms: 13 + -13 = 0
9x + 2x2 = 0

Solving
9x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(9 + 2x) = 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 '(9 + 2x)' equal to zero and attempt to solve:

Simplifying
9 + 2x = 0

Solving
9 + 2x = 0

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

Add '-9' to each side of the equation.
9 + -9 + 2x = 0 + -9

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

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

Divide each side by '2'.
x = -4.5

Simplifying
x = -4.5
Solution
x = {0, -4.5}

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