(14-2x)*(13-2x)=56

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Solution for (14-2x)*(13-2x)=56 equation: 


Simplifying
(14 + -2x)(13 + -2x) = 56

Multiply (14 + -2x) * (13 + -2x)
(14(13 + -2x) + -2x * (13 + -2x)) = 56
((13 * 14 + -2x * 14) + -2x * (13 + -2x)) = 56
((182 + -28x) + -2x * (13 + -2x)) = 56
(182 + -28x + (13 * -2x + -2x * -2x)) = 56
(182 + -28x + (-26x + 4x2)) = 56

Combine like terms: -28x + -26x = -54x
(182 + -54x + 4x2) = 56

Solving
182 + -54x + 4x2 = 56

Solving for variable 'x'.

Reorder the terms:
182 + -56 + -54x + 4x2 = 56 + -56

Combine like terms: 182 + -56 = 126
126 + -54x + 4x2 = 56 + -56

Combine like terms: 56 + -56 = 0
126 + -54x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(63 + -27x + 2x2) = 0

Factor a trinomial.
2((3 + -1x)(21 + -2x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

Subproblem 2
Set the factor '(21 + -2x)' equal to zero and attempt to solve:

Simplifying
21 + -2x = 0

Solving
21 + -2x = 0

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

Add '-21' to each side of the equation.
21 + -21 + -2x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -2x = 0 + -21
-2x = 0 + -21

Combine like terms: 0 + -21 = -21
-2x = -21

Divide each side by '-2'.
x = 10.5

Simplifying
x = 10.5
Solution
x = {3, 10.5}

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