(50+X)(75+2X)=8568

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Solution for (50+X)(75+2X)=8568 equation: 


Simplifying
(50 + X)(75 + 2X) = 8568

Multiply (50 + X) * (75 + 2X)
(50(75 + 2X) + X(75 + 2X)) = 8568
((75 * 50 + 2X * 50) + X(75 + 2X)) = 8568
((3750 + 100X) + X(75 + 2X)) = 8568
(3750 + 100X + (75 * X + 2X * X)) = 8568
(3750 + 100X + (75X + 2X2)) = 8568

Combine like terms: 100X + 75X = 175X
(3750 + 175X + 2X2) = 8568

Solving
3750 + 175X + 2X2 = 8568

Solving for variable 'X'.

Reorder the terms:
3750 + -8568 + 175X + 2X2 = 8568 + -8568

Combine like terms: 3750 + -8568 = -4818
-4818 + 175X + 2X2 = 8568 + -8568

Combine like terms: 8568 + -8568 = 0
-4818 + 175X + 2X2 = 0

Factor a trinomial.
(-219 + -2X)(22 + -1X) = 0


Subproblem 1
Set the factor '(-219 + -2X)' equal to zero and attempt to solve:

Simplifying
-219 + -2X = 0

Solving
-219 + -2X = 0

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

Add '219' to each side of the equation.
-219 + 219 + -2X = 0 + 219

Combine like terms: -219 + 219 = 0
0 + -2X = 0 + 219
-2X = 0 + 219

Combine like terms: 0 + 219 = 219
-2X = 219

Divide each side by '-2'.
X = -109.5

Simplifying
X = -109.5

Subproblem 2
Set the factor '(22 + -1X)' equal to zero and attempt to solve:

Simplifying
22 + -1X = 0

Solving
22 + -1X = 0

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

Add '-22' to each side of the equation.
22 + -22 + -1X = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -1X = 0 + -22
-1X = 0 + -22

Combine like terms: 0 + -22 = -22
-1X = -22

Divide each side by '-1'.
X = 22

Simplifying
X = 22
Solution
X = {-109.5, 22}

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