(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 = 30x
(200 + 30x + -20x2) = 0

Solving
200 + 30x + -20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10'.
10(20 + 3x + -2x2) = 0

Factor a trinomial.
10((4 + -1x)(5 + 2x)) = 0

Ignore the factor 10.

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

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
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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