(9x+2)(8x-3)=

Solution for (9x+2)(8x-3)= equation:

Simplifying
(9x + 2)(8x + -3) = 0

Reorder the terms:
(2 + 9x)(8x + -3) = 0

Reorder the terms:
(2 + 9x)(-3 + 8x) = 0

Multiply (2 + 9x) * (-3 + 8x)
(2(-3 + 8x) + 9x * (-3 + 8x)) = 0
((-3 * 2 + 8x * 2) + 9x * (-3 + 8x)) = 0
((-6 + 16x) + 9x * (-3 + 8x)) = 0
(-6 + 16x + (-3 * 9x + 8x * 9x)) = 0
(-6 + 16x + (-27x + 72x2)) = 0

Combine like terms: 16x + -27x = -11x
(-6 + -11x + 72x2) = 0

Solving
-6 + -11x + 72x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -9x)(3 + -8x) = 0

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

Simplifying
-2 + -9x = 0

Solving
-2 + -9x = 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 + -9x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -9x = 0 + 2
-9x = 0 + 2

Combine like terms: 0 + 2 = 2
-9x = 2

Divide each side by '-9'.
x = -0.2222222222

Simplifying
x = -0.2222222222
Subproblem 2
Set the factor '(3 + -8x)' equal to zero and attempt to solve:

Simplifying
3 + -8x = 0

Solving
3 + -8x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -8x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8x = 0 + -3
-8x = 0 + -3

Combine like terms: 0 + -3 = -3
-8x = -3

Divide each side by '-8'.
x = 0.375

Simplifying
x = 0.375
Solution
x = {-0.2222222222, 0.375}