(3X-5)(4X-3)=

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Solution for (3X-5)(4X-3)= equation: 


Simplifying
(3X + -5)(4X + -3) = 0

Reorder the terms:
(-5 + 3X)(4X + -3) = 0

Reorder the terms:
(-5 + 3X)(-3 + 4X) = 0

Multiply (-5 + 3X) * (-3 + 4X)
(-5(-3 + 4X) + 3X * (-3 + 4X)) = 0
((-3 * -5 + 4X * -5) + 3X * (-3 + 4X)) = 0
((15 + -20X) + 3X * (-3 + 4X)) = 0
(15 + -20X + (-3 * 3X + 4X * 3X)) = 0
(15 + -20X + (-9X + 12X2)) = 0

Combine like terms: -20X + -9X = -29X
(15 + -29X + 12X2) = 0

Solving
15 + -29X + 12X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(3 + -4X)(5 + -3X) = 0


Subproblem 1
Set the factor '(3 + -4X)' equal to zero and attempt to solve:

Simplifying
3 + -4X = 0

Solving
3 + -4X = 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 + -4X = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4X = 0 + -3
-4X = 0 + -3

Combine like terms: 0 + -3 = -3
-4X = -3

Divide each side by '-4'.
X = 0.75

Simplifying
X = 0.75

Subproblem 2
Set the factor '(5 + -3X)' equal to zero and attempt to solve:

Simplifying
5 + -3X = 0

Solving
5 + -3X = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3X = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3X = 0 + -5
-3X = 0 + -5

Combine like terms: 0 + -5 = -5
-3X = -5

Divide each side by '-3'.
X = 1.666666667

Simplifying
X = 1.666666667
Solution
X = {0.75, 1.666666667}

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