(4x-9)(5x-5)=

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Solution for (4x-9)(5x-5)= equation: 


Simplifying
(4x + -9)(5x + -5) = 0

Reorder the terms:
(-9 + 4x)(5x + -5) = 0

Reorder the terms:
(-9 + 4x)(-5 + 5x) = 0

Multiply (-9 + 4x) * (-5 + 5x)
(-9(-5 + 5x) + 4x * (-5 + 5x)) = 0
((-5 * -9 + 5x * -9) + 4x * (-5 + 5x)) = 0
((45 + -45x) + 4x * (-5 + 5x)) = 0
(45 + -45x + (-5 * 4x + 5x * 4x)) = 0
(45 + -45x + (-20x + 20x2)) = 0

Combine like terms: -45x + -20x = -65x
(45 + -65x + 20x2) = 0

Solving
45 + -65x + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(9 + -13x + 4x2) = 0

Factor a trinomial.
5((1 + -1x)(9 + -4x)) = 0

Ignore the factor 5.

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 '(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 = {1, 2.25}

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