(5x-6)(9x-3)=

Solution for (5x-6)(9x-3)= equation:

Simplifying
(5x + -6)(9x + -3) = 0

Reorder the terms:
(-6 + 5x)(9x + -3) = 0

Reorder the terms:
(-6 + 5x)(-3 + 9x) = 0

Multiply (-6 + 5x) * (-3 + 9x)
(-6(-3 + 9x) + 5x * (-3 + 9x)) = 0
((-3 * -6 + 9x * -6) + 5x * (-3 + 9x)) = 0
((18 + -54x) + 5x * (-3 + 9x)) = 0
(18 + -54x + (-3 * 5x + 9x * 5x)) = 0
(18 + -54x + (-15x + 45x2)) = 0

Combine like terms: -54x + -15x = -69x
(18 + -69x + 45x2) = 0

Solving
18 + -69x + 45x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(6 + -23x + 15x2) = 0

Factor a trinomial.
3((1 + -3x)(6 + -5x)) = 0

Ignore the factor 3.
Subproblem 1
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
Subproblem 2
Set the factor '(6 + -5x)' equal to zero and attempt to solve:

Simplifying
6 + -5x = 0

Solving
6 + -5x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 0 + -6
-5x = 0 + -6

Combine like terms: 0 + -6 = -6
-5x = -6

Divide each side by '-5'.
x = 1.2

Simplifying
x = 1.2
Solution
x = {0.3333333333, 1.2}