(20+2x)(25+2X)=(1.5)(20)(25)

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Solution for (20+2x)(25+2X)=(1.5)(20)(25) equation:


Simplifying
(20 + 2x)(25 + 2X) = (1.5)(20)(25)

Multiply (20 + 2x) * (25 + 2X)
(20(25 + 2X) + 2x * (25 + 2X)) = (1.5)(20)(25)
((25 * 20 + 2X * 20) + 2x * (25 + 2X)) = (1.5)(20)(25)
((500 + 40X) + 2x * (25 + 2X)) = (1.5)(20)(25)
(500 + 40X + (25 * 2x + 2X * 2x)) = (1.5)(20)(25)
(500 + 40X + (50x + 4xX)) = (1.5)(20)(25)
(500 + 40X + 50x + 4xX) = (1.5)(20)(25)

Multiply 1.5 * 20
500 + 40X + 50x + 4xX = 30 * 25

Multiply 30 * 25
500 + 40X + 50x + 4xX = 750

Solving
500 + 40X + 50x + 4xX = 750

Solving for variable 'X'.

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

Add '-500' to each side of the equation.
500 + 40X + 50x + -500 + 4xX = 750 + -500

Reorder the terms:
500 + -500 + 40X + 50x + 4xX = 750 + -500

Combine like terms: 500 + -500 = 0
0 + 40X + 50x + 4xX = 750 + -500
40X + 50x + 4xX = 750 + -500

Combine like terms: 750 + -500 = 250
40X + 50x + 4xX = 250

Add '-50x' to each side of the equation.
40X + 50x + -50x + 4xX = 250 + -50x

Combine like terms: 50x + -50x = 0
40X + 0 + 4xX = 250 + -50x
40X + 4xX = 250 + -50x

Reorder the terms:
-250 + 40X + 50x + 4xX = 250 + -50x + -250 + 50x

Reorder the terms:
-250 + 40X + 50x + 4xX = 250 + -250 + -50x + 50x

Combine like terms: 250 + -250 = 0
-250 + 40X + 50x + 4xX = 0 + -50x + 50x
-250 + 40X + 50x + 4xX = -50x + 50x

Combine like terms: -50x + 50x = 0
-250 + 40X + 50x + 4xX = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-125 + 20X + 25x + 2xX) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-125 + 20X + 25x + 2xX)' equal to zero and attempt to solve: Simplifying -125 + 20X + 25x + 2xX = 0 Solving -125 + 20X + 25x + 2xX = 0 Move all terms containing X to the left, all other terms to the right. Add '125' to each side of the equation. -125 + 20X + 25x + 125 + 2xX = 0 + 125 Reorder the terms: -125 + 125 + 20X + 25x + 2xX = 0 + 125 Combine like terms: -125 + 125 = 0 0 + 20X + 25x + 2xX = 0 + 125 20X + 25x + 2xX = 0 + 125 Combine like terms: 0 + 125 = 125 20X + 25x + 2xX = 125 Add '-25x' to each side of the equation. 20X + 25x + -25x + 2xX = 125 + -25x Combine like terms: 25x + -25x = 0 20X + 0 + 2xX = 125 + -25x 20X + 2xX = 125 + -25x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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