(15-2x)(18-2x)=208

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Solution for (15-2x)(18-2x)=208 equation: 


Simplifying
(15 + -2x)(18 + -2x) = 208

Multiply (15 + -2x) * (18 + -2x)
(15(18 + -2x) + -2x * (18 + -2x)) = 208
((18 * 15 + -2x * 15) + -2x * (18 + -2x)) = 208
((270 + -30x) + -2x * (18 + -2x)) = 208
(270 + -30x + (18 * -2x + -2x * -2x)) = 208
(270 + -30x + (-36x + 4x2)) = 208

Combine like terms: -30x + -36x = -66x
(270 + -66x + 4x2) = 208

Solving
270 + -66x + 4x2 = 208

Solving for variable 'x'.

Reorder the terms:
270 + -208 + -66x + 4x2 = 208 + -208

Combine like terms: 270 + -208 = 62
62 + -66x + 4x2 = 208 + -208

Combine like terms: 208 + -208 = 0
62 + -66x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(31 + -33x + 2x2) = 0

Factor a trinomial.
2((1 + -1x)(31 + -2x)) = 0

Ignore the factor 2.

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 '(31 + -2x)' equal to zero and attempt to solve:

Simplifying
31 + -2x = 0

Solving
31 + -2x = 0

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

Add '-31' to each side of the equation.
31 + -31 + -2x = 0 + -31

Combine like terms: 31 + -31 = 0
0 + -2x = 0 + -31
-2x = 0 + -31

Combine like terms: 0 + -31 = -31
-2x = -31

Divide each side by '-2'.
x = 15.5

Simplifying
x = 15.5
Solution
x = {1, 15.5}

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