(9x+4)(-6x+6)=

Solution for (9x+4)(-6x+6)= equation:

Simplifying
(9x + 4)(-6x + 6) = 0

Reorder the terms:
(4 + 9x)(-6x + 6) = 0

Reorder the terms:
(4 + 9x)(6 + -6x) = 0

Multiply (4 + 9x) * (6 + -6x)
(4(6 + -6x) + 9x * (6 + -6x)) = 0
((6 * 4 + -6x * 4) + 9x * (6 + -6x)) = 0
((24 + -24x) + 9x * (6 + -6x)) = 0
(24 + -24x + (6 * 9x + -6x * 9x)) = 0
(24 + -24x + (54x + -54x2)) = 0

Combine like terms: -24x + 54x = 30x
(24 + 30x + -54x2) = 0

Solving
24 + 30x + -54x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(4 + 5x + -9x2) = 0

Factor a trinomial.
6((1 + -1x)(4 + 9x)) = 0

Ignore the factor 6.
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 '(4 + 9x)' equal to zero and attempt to solve:

Simplifying
4 + 9x = 0

Solving
4 + 9x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 9x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 9x = 0 + -4
9x = 0 + -4

Combine like terms: 0 + -4 = -4
9x = -4

Divide each side by '9'.
x = -0.4444444444

Simplifying
x = -0.4444444444
Solution
x = {1, -0.4444444444}