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

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


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

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

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

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

Combine like terms: -10x + -20x = -30x
(20 + -30x + 10x2) = 0

Solving
20 + -30x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10'.
10(2 + -3x + x2) = 0

Factor a trinomial.
10((1 + -1x)(2 + -1x)) = 0

Ignore the factor 10.

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 '(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 = {1, 2}

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