(28-2x)(29-2x)=600

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Solution for (28-2x)(29-2x)=600 equation: 


Simplifying
(28 + -2x)(29 + -2x) = 600

Multiply (28 + -2x) * (29 + -2x)
(28(29 + -2x) + -2x * (29 + -2x)) = 600
((29 * 28 + -2x * 28) + -2x * (29 + -2x)) = 600
((812 + -56x) + -2x * (29 + -2x)) = 600
(812 + -56x + (29 * -2x + -2x * -2x)) = 600
(812 + -56x + (-58x + 4x2)) = 600

Combine like terms: -56x + -58x = -114x
(812 + -114x + 4x2) = 600

Solving
812 + -114x + 4x2 = 600

Solving for variable 'x'.

Reorder the terms:
812 + -600 + -114x + 4x2 = 600 + -600

Combine like terms: 812 + -600 = 212
212 + -114x + 4x2 = 600 + -600

Combine like terms: 600 + -600 = 0
212 + -114x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(106 + -57x + 2x2) = 0

Factor a trinomial.
2((2 + -1x)(53 + -2x)) = 0

Ignore the factor 2.

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(53 + -2x)' equal to zero and attempt to solve:

Simplifying
53 + -2x = 0

Solving
53 + -2x = 0

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

Add '-53' to each side of the equation.
53 + -53 + -2x = 0 + -53

Combine like terms: 53 + -53 = 0
0 + -2x = 0 + -53
-2x = 0 + -53

Combine like terms: 0 + -53 = -53
-2x = -53

Divide each side by '-2'.
x = 26.5

Simplifying
x = 26.5
Solution
x = {2, 26.5}

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