(-4x+9)(-6x+3)=

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Solution for (-4x+9)(-6x+3)= equation: 


Simplifying
(-4x + 9)(-6x + 3) = 0

Reorder the terms:
(9 + -4x)(-6x + 3) = 0

Reorder the terms:
(9 + -4x)(3 + -6x) = 0

Multiply (9 + -4x) * (3 + -6x)
(9(3 + -6x) + -4x * (3 + -6x)) = 0
((3 * 9 + -6x * 9) + -4x * (3 + -6x)) = 0
((27 + -54x) + -4x * (3 + -6x)) = 0
(27 + -54x + (3 * -4x + -6x * -4x)) = 0
(27 + -54x + (-12x + 24x2)) = 0

Combine like terms: -54x + -12x = -66x
(27 + -66x + 24x2) = 0

Solving
27 + -66x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(9 + -22x + 8x2) = 0

Factor a trinomial.
3((1 + -2x)(9 + -4x)) = 0

Ignore the factor 3.

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

Simplifying
1 + -2x = 0

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

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

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

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

Subproblem 2
Set the factor '(9 + -4x)' equal to zero and attempt to solve:

Simplifying
9 + -4x = 0

Solving
9 + -4x = 0

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

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

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

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

Divide each side by '-4'.
x = 2.25

Simplifying
x = 2.25
Solution
x = {0.5, 2.25}

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