(15-2x)(20-2x)=104

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Solution for (15-2x)(20-2x)=104 equation: 


Simplifying
(15 + -2x)(20 + -2x) = 104

Multiply (15 + -2x) * (20 + -2x)
(15(20 + -2x) + -2x * (20 + -2x)) = 104
((20 * 15 + -2x * 15) + -2x * (20 + -2x)) = 104
((300 + -30x) + -2x * (20 + -2x)) = 104
(300 + -30x + (20 * -2x + -2x * -2x)) = 104
(300 + -30x + (-40x + 4x2)) = 104

Combine like terms: -30x + -40x = -70x
(300 + -70x + 4x2) = 104

Solving
300 + -70x + 4x2 = 104

Solving for variable 'x'.

Reorder the terms:
300 + -104 + -70x + 4x2 = 104 + -104

Combine like terms: 300 + -104 = 196
196 + -70x + 4x2 = 104 + -104

Combine like terms: 104 + -104 = 0
196 + -70x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(98 + -35x + 2x2) = 0

Factor a trinomial.
2((7 + -2x)(14 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(7 + -2x)' equal to zero and attempt to solve:

Simplifying
7 + -2x = 0

Solving
7 + -2x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 0 + -7
-2x = 0 + -7

Combine like terms: 0 + -7 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5

Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve:

Simplifying
14 + -1x = 0

Solving
14 + -1x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 0 + -14
-1x = 0 + -14

Combine like terms: 0 + -14 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14
Solution
x = {3.5, 14}

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