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

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


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

Multiply (9 + -3x) * (9 + -5x)
(9(9 + -5x) + -3x * (9 + -5x)) = 0
((9 * 9 + -5x * 9) + -3x * (9 + -5x)) = 0
((81 + -45x) + -3x * (9 + -5x)) = 0
(81 + -45x + (9 * -3x + -5x * -3x)) = 0
(81 + -45x + (-27x + 15x2)) = 0

Combine like terms: -45x + -27x = -72x
(81 + -72x + 15x2) = 0

Solving
81 + -72x + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(27 + -24x + 5x2) = 0

Factor a trinomial.
3((9 + -5x)(3 + -1x)) = 0

Ignore the factor 3.

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

Simplifying
9 + -5x = 0

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

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

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

Divide each side by '-5'.
x = 1.8

Simplifying
x = 1.8

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

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {1.8, 3}

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