(3x*3x)+8x-1=

Solution for (3x*3x)+8x-1= equation:

Simplifying
(3x * 3x) + 8x + -1 = 0

Reorder the terms for easier multiplication:
(3 * 3x * x) + 8x + -1 = 0

Multiply 3 * 3
(9x * x) + 8x + -1 = 0

Multiply x * x
(9x2) + 8x + -1 = 0

Reorder the terms:
-1 + 8x + (9x2) = 0

Solving
-1 + 8x + (9x2) = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -1x)(1 + -9x) = 0

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

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 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 + -1x = 0 + 1

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

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

Divide each side by '-1'.
x = -1

Simplifying
x = -1
Subproblem 2
Set the factor '(1 + -9x)' equal to zero and attempt to solve:

Simplifying
1 + -9x = 0

Solving
1 + -9x = 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 + -9x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -9x = 0 + -1
-9x = 0 + -1

Combine like terms: 0 + -1 = -1
-9x = -1

Divide each side by '-9'.
x = 0.1111111111

Simplifying
x = 0.1111111111
Solution
x = {-1, 0.1111111111}