(22-2x)(15-2x)=260

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Solution for (22-2x)(15-2x)=260 equation: 


Simplifying
(22 + -2x)(15 + -2x) = 260

Multiply (22 + -2x) * (15 + -2x)
(22(15 + -2x) + -2x * (15 + -2x)) = 260
((15 * 22 + -2x * 22) + -2x * (15 + -2x)) = 260
((330 + -44x) + -2x * (15 + -2x)) = 260
(330 + -44x + (15 * -2x + -2x * -2x)) = 260
(330 + -44x + (-30x + 4x2)) = 260

Combine like terms: -44x + -30x = -74x
(330 + -74x + 4x2) = 260

Solving
330 + -74x + 4x2 = 260

Solving for variable 'x'.

Reorder the terms:
330 + -260 + -74x + 4x2 = 260 + -260

Combine like terms: 330 + -260 = 70
70 + -74x + 4x2 = 260 + -260

Combine like terms: 260 + -260 = 0
70 + -74x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(35 + -37x + 2x2) = 0

Factor a trinomial.
2((1 + -1x)(35 + -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 '(35 + -2x)' equal to zero and attempt to solve:

Simplifying
35 + -2x = 0

Solving
35 + -2x = 0

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

Add '-35' to each side of the equation.
35 + -35 + -2x = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -2x = 0 + -35
-2x = 0 + -35

Combine like terms: 0 + -35 = -35
-2x = -35

Divide each side by '-2'.
x = 17.5

Simplifying
x = 17.5
Solution
x = {1, 17.5}

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