(2x-4)(5x-3)=

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Solution for (2x-4)(5x-3)= equation: 


Simplifying
(2x + -4)(5x + -3) = 0

Reorder the terms:
(-4 + 2x)(5x + -3) = 0

Reorder the terms:
(-4 + 2x)(-3 + 5x) = 0

Multiply (-4 + 2x) * (-3 + 5x)
(-4(-3 + 5x) + 2x * (-3 + 5x)) = 0
((-3 * -4 + 5x * -4) + 2x * (-3 + 5x)) = 0
((12 + -20x) + 2x * (-3 + 5x)) = 0
(12 + -20x + (-3 * 2x + 5x * 2x)) = 0
(12 + -20x + (-6x + 10x2)) = 0

Combine like terms: -20x + -6x = -26x
(12 + -26x + 10x2) = 0

Solving
12 + -26x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + -13x + 5x2) = 0

Factor a trinomial.
2((3 + -5x)(2 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(3 + -5x)' equal to zero and attempt to solve:

Simplifying
3 + -5x = 0

Solving
3 + -5x = 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 + -5x = 0 + -3

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

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

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {0.6, 2}

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