9x^2+18x-47=8

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Solution for 9x^2+18x-47=8 equation: 


Simplifying
9x2 + 18x + -47 = 8

Reorder the terms:
-47 + 18x + 9x2 = 8

Solving
-47 + 18x + 9x2 = 8

Solving for variable 'x'.

Reorder the terms:
-47 + -8 + 18x + 9x2 = 8 + -8

Combine like terms: -47 + -8 = -55
-55 + 18x + 9x2 = 8 + -8

Combine like terms: 8 + -8 = 0
-55 + 18x + 9x2 = 0

Factor a trinomial.
(-11 + -3x)(5 + -3x) = 0


Subproblem 1
Set the factor '(-11 + -3x)' equal to zero and attempt to solve:

Simplifying
-11 + -3x = 0

Solving
-11 + -3x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -3x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -3x = 0 + 11
-3x = 0 + 11

Combine like terms: 0 + 11 = 11
-3x = 11

Divide each side by '-3'.
x = -3.666666667

Simplifying
x = -3.666666667

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 = {-3.666666667, 1.666666667}

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