(x-10)(2x-20)=

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Solution for (x-10)(2x-20)= equation: 


Simplifying
(x + -10)(2x + -20) = 0

Reorder the terms:
(-10 + x)(2x + -20) = 0

Reorder the terms:
(-10 + x)(-20 + 2x) = 0

Multiply (-10 + x) * (-20 + 2x)
(-10(-20 + 2x) + x(-20 + 2x)) = 0
((-20 * -10 + 2x * -10) + x(-20 + 2x)) = 0
((200 + -20x) + x(-20 + 2x)) = 0
(200 + -20x + (-20 * x + 2x * x)) = 0
(200 + -20x + (-20x + 2x2)) = 0

Combine like terms: -20x + -20x = -40x
(200 + -40x + 2x2) = 0

Solving
200 + -40x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(100 + -20x + x2) = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {10, 10}

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