(3x-50)(2x-5)=

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Solution for (3x-50)(2x-5)= equation: 


Simplifying
(3x + -50)(2x + -5) = 0

Reorder the terms:
(-50 + 3x)(2x + -5) = 0

Reorder the terms:
(-50 + 3x)(-5 + 2x) = 0

Multiply (-50 + 3x) * (-5 + 2x)
(-50(-5 + 2x) + 3x * (-5 + 2x)) = 0
((-5 * -50 + 2x * -50) + 3x * (-5 + 2x)) = 0
((250 + -100x) + 3x * (-5 + 2x)) = 0
(250 + -100x + (-5 * 3x + 2x * 3x)) = 0
(250 + -100x + (-15x + 6x2)) = 0

Combine like terms: -100x + -15x = -115x
(250 + -115x + 6x2) = 0

Solving
250 + -115x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -2x)(50 + -3x) = 0


Subproblem 1
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5

Subproblem 2
Set the factor '(50 + -3x)' equal to zero and attempt to solve:

Simplifying
50 + -3x = 0

Solving
50 + -3x = 0

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

Add '-50' to each side of the equation.
50 + -50 + -3x = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -3x = 0 + -50
-3x = 0 + -50

Combine like terms: 0 + -50 = -50
-3x = -50

Divide each side by '-3'.
x = 16.66666667

Simplifying
x = 16.66666667
Solution
x = {2.5, 16.66666667}

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