9x^2+11x+18=-10x+8

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Solution for 9x^2+11x+18=-10x+8 equation: 


Simplifying
9x2 + 11x + 18 = -10x + 8

Reorder the terms:
18 + 11x + 9x2 = -10x + 8

Reorder the terms:
18 + 11x + 9x2 = 8 + -10x

Solving
18 + 11x + 9x2 = 8 + -10x

Solving for variable 'x'.

Reorder the terms:
18 + -8 + 11x + 10x + 9x2 = 8 + -10x + -8 + 10x

Combine like terms: 18 + -8 = 10
10 + 11x + 10x + 9x2 = 8 + -10x + -8 + 10x

Combine like terms: 11x + 10x = 21x
10 + 21x + 9x2 = 8 + -10x + -8 + 10x

Reorder the terms:
10 + 21x + 9x2 = 8 + -8 + -10x + 10x

Combine like terms: 8 + -8 = 0
10 + 21x + 9x2 = 0 + -10x + 10x
10 + 21x + 9x2 = -10x + 10x

Combine like terms: -10x + 10x = 0
10 + 21x + 9x2 = 0

Factor a trinomial.
(5 + 3x)(2 + 3x) = 0


Subproblem 1
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

Subproblem 2
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
Solution
x = {-1.666666667, -0.6666666667}

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