(3x)(3x)-13x-10=0

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Solution for (3x)(3x)-13x-10=0 equation: 


Simplifying
(3x)(3x) + -13x + -10 = 0

Remove parenthesis around (3x)
3x(3x) + -13x + -10 = 0

Remove parenthesis around (3x)
3x * 3x + -13x + -10 = 0

Reorder the terms for easier multiplication:
3 * 3x * x + -13x + -10 = 0

Multiply 3 * 3
9x * x + -13x + -10 = 0

Multiply x * x
9x2 + -13x + -10 = 0

Reorder the terms:
-10 + -13x + 9x2 = 0

Solving
-10 + -13x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -9x)(2 + -1x) = 0


Subproblem 1
Set the factor '(-5 + -9x)' equal to zero and attempt to solve:

Simplifying
-5 + -9x = 0

Solving
-5 + -9x = 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 + -9x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -9x = 0 + 5
-9x = 0 + 5

Combine like terms: 0 + 5 = 5
-9x = 5

Divide each side by '-9'.
x = -0.5555555556

Simplifying
x = -0.5555555556

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-0.5555555556, 2}

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