0=9x^2-18x-7

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Solution for 0=9x^2-18x-7 equation: 


Simplifying
0 = 9x2 + -18x + -7

Reorder the terms:
0 = -7 + -18x + 9x2

Solving
0 = -7 + -18x + 9x2

Solving for variable 'x'.

Combine like terms: 0 + 7 = 7
7 + 18x + -9x2 = -7 + -18x + 9x2 + 7 + 18x + -9x2

Reorder the terms:
7 + 18x + -9x2 = -7 + 7 + -18x + 18x + 9x2 + -9x2

Combine like terms: -7 + 7 = 0
7 + 18x + -9x2 = 0 + -18x + 18x + 9x2 + -9x2
7 + 18x + -9x2 = -18x + 18x + 9x2 + -9x2

Combine like terms: -18x + 18x = 0
7 + 18x + -9x2 = 0 + 9x2 + -9x2
7 + 18x + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
7 + 18x + -9x2 = 0

Factor a trinomial.
(7 + -3x)(1 + 3x) = 0


Subproblem 1
Set the factor '(7 + -3x)' equal to zero and attempt to solve:

Simplifying
7 + -3x = 0

Solving
7 + -3x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = 0 + -7
-3x = 0 + -7

Combine like terms: 0 + -7 = -7
-3x = -7

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333

Subproblem 2
Set the factor '(1 + 3x)' equal to zero and attempt to solve:

Simplifying
1 + 3x = 0

Solving
1 + 3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 0 + -1
3x = 0 + -1

Combine like terms: 0 + -1 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333
Solution
x = {2.333333333, -0.3333333333}

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