(25-2X)(28-2X)=340

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Solution for (25-2X)(28-2X)=340 equation: 


Simplifying
(25 + -2X)(28 + -2X) = 340

Multiply (25 + -2X) * (28 + -2X)
(25(28 + -2X) + -2X * (28 + -2X)) = 340
((28 * 25 + -2X * 25) + -2X * (28 + -2X)) = 340
((700 + -50X) + -2X * (28 + -2X)) = 340
(700 + -50X + (28 * -2X + -2X * -2X)) = 340
(700 + -50X + (-56X + 4X2)) = 340

Combine like terms: -50X + -56X = -106X
(700 + -106X + 4X2) = 340

Solving
700 + -106X + 4X2 = 340

Solving for variable 'X'.

Reorder the terms:
700 + -340 + -106X + 4X2 = 340 + -340

Combine like terms: 700 + -340 = 360
360 + -106X + 4X2 = 340 + -340

Combine like terms: 340 + -340 = 0
360 + -106X + 4X2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(180 + -53X + 2X2) = 0

Factor a trinomial.
2((4 + -1X)(45 + -2X)) = 0

Ignore the factor 2.

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 '(45 + -2X)' equal to zero and attempt to solve:

Simplifying
45 + -2X = 0

Solving
45 + -2X = 0

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

Add '-45' to each side of the equation.
45 + -45 + -2X = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -2X = 0 + -45
-2X = 0 + -45

Combine like terms: 0 + -45 = -45
-2X = -45

Divide each side by '-2'.
X = 22.5

Simplifying
X = 22.5
Solution
X = {4, 22.5}

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