2x^2+20x+18=3(x+6)

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Solution for 2x^2+20x+18=3(x+6) equation: 


Simplifying
2x2 + 20x + 18 = 3(x + 6)

Reorder the terms:
18 + 20x + 2x2 = 3(x + 6)

Reorder the terms:
18 + 20x + 2x2 = 3(6 + x)
18 + 20x + 2x2 = (6 * 3 + x * 3)
18 + 20x + 2x2 = (18 + 3x)

Add '-18' to each side of the equation.
18 + 20x + -18 + 2x2 = 18 + -18 + 3x

Reorder the terms:
18 + -18 + 20x + 2x2 = 18 + -18 + 3x

Combine like terms: 18 + -18 = 0
0 + 20x + 2x2 = 18 + -18 + 3x
20x + 2x2 = 18 + -18 + 3x

Combine like terms: 18 + -18 = 0
20x + 2x2 = 0 + 3x
20x + 2x2 = 3x

Solving
20x + 2x2 = 3x

Solving for variable 'x'.

Reorder the terms:
20x + -3x + 2x2 = 3x + -3x

Combine like terms: 20x + -3x = 17x
17x + 2x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
17x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(17 + 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 '(17 + 2x)' equal to zero and attempt to solve:

Simplifying
17 + 2x = 0

Solving
17 + 2x = 0

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

Add '-17' to each side of the equation.
17 + -17 + 2x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 2x = 0 + -17
2x = 0 + -17

Combine like terms: 0 + -17 = -17
2x = -17

Divide each side by '2'.
x = -8.5

Simplifying
x = -8.5
Solution
x = {0, -8.5}

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