(60-2x)(40-2x)=1664

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Solution for (60-2x)(40-2x)=1664 equation: 


Simplifying
(60 + -2x)(40 + -2x) = 1664

Multiply (60 + -2x) * (40 + -2x)
(60(40 + -2x) + -2x * (40 + -2x)) = 1664
((40 * 60 + -2x * 60) + -2x * (40 + -2x)) = 1664
((2400 + -120x) + -2x * (40 + -2x)) = 1664
(2400 + -120x + (40 * -2x + -2x * -2x)) = 1664
(2400 + -120x + (-80x + 4x2)) = 1664

Combine like terms: -120x + -80x = -200x
(2400 + -200x + 4x2) = 1664

Solving
2400 + -200x + 4x2 = 1664

Solving for variable 'x'.

Reorder the terms:
2400 + -1664 + -200x + 4x2 = 1664 + -1664

Combine like terms: 2400 + -1664 = 736
736 + -200x + 4x2 = 1664 + -1664

Combine like terms: 1664 + -1664 = 0
736 + -200x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(184 + -50x + x2) = 0

Factor a trinomial.
4((4 + -1x)(46 + -1x)) = 0

Ignore the factor 4.

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 '(46 + -1x)' equal to zero and attempt to solve:

Simplifying
46 + -1x = 0

Solving
46 + -1x = 0

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

Add '-46' to each side of the equation.
46 + -46 + -1x = 0 + -46

Combine like terms: 46 + -46 = 0
0 + -1x = 0 + -46
-1x = 0 + -46

Combine like terms: 0 + -46 = -46
-1x = -46

Divide each side by '-1'.
x = 46

Simplifying
x = 46
Solution
x = {4, 46}

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