(4x-10)(20-5x)=

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Solution for (4x-10)(20-5x)= equation: 


Simplifying
(4x + -10)(20 + -5x) = 0

Reorder the terms:
(-10 + 4x)(20 + -5x) = 0

Multiply (-10 + 4x) * (20 + -5x)
(-10(20 + -5x) + 4x * (20 + -5x)) = 0
((20 * -10 + -5x * -10) + 4x * (20 + -5x)) = 0
((-200 + 50x) + 4x * (20 + -5x)) = 0
(-200 + 50x + (20 * 4x + -5x * 4x)) = 0
(-200 + 50x + (80x + -20x2)) = 0

Combine like terms: 50x + 80x = 130x
(-200 + 130x + -20x2) = 0

Solving
-200 + 130x + -20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10'.
10(-20 + 13x + -2x2) = 0

Factor a trinomial.
10((-4 + x)(5 + -2x)) = 0

Ignore the factor 10.

Subproblem 1
Set the factor '(-4 + x)' equal to zero and attempt to solve:

Simplifying
-4 + x = 0

Solving
-4 + x = 0

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

Add '4' to each side of the equation.
-4 + 4 + x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + x = 0 + 4
x = 0 + 4

Combine like terms: 0 + 4 = 4
x = 4

Simplifying
x = 4

Subproblem 2
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
Solution
x = {4, 2.5}

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