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

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


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

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

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

Multiply (5 + 3X) * (-5 + 4X)
(5(-5 + 4X) + 3X * (-5 + 4X)) = 0
((-5 * 5 + 4X * 5) + 3X * (-5 + 4X)) = 0
((-25 + 20X) + 3X * (-5 + 4X)) = 0
(-25 + 20X + (-5 * 3X + 4X * 3X)) = 0
(-25 + 20X + (-15X + 12X2)) = 0

Combine like terms: 20X + -15X = 5X
(-25 + 5X + 12X2) = 0

Solving
-25 + 5X + 12X2 = 0

Solving for variable 'X'.

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


Subproblem 1
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

Subproblem 2
Set the factor '(5 + -4X)' equal to zero and attempt to solve:

Simplifying
5 + -4X = 0

Solving
5 + -4X = 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 + -4X = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4X = 0 + -5
-4X = 0 + -5

Combine like terms: 0 + -5 = -5
-4X = -5

Divide each side by '-4'.
X = 1.25

Simplifying
X = 1.25
Solution
X = {-1.666666667, 1.25}

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