(2x-5)+(5X+15)(4x-15)=180

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Solution for (2x-5)+(5X+15)(4x-15)=180 equation: 


Simplifying
(2x + -5) + (5X + 15)(4x + -15) = 180

Reorder the terms:
(-5 + 2x) + (5X + 15)(4x + -15) = 180

Remove parenthesis around (-5 + 2x)
-5 + 2x + (5X + 15)(4x + -15) = 180

Reorder the terms:
-5 + 2x + (15 + 5X)(4x + -15) = 180

Reorder the terms:
-5 + 2x + (15 + 5X)(-15 + 4x) = 180

Multiply (15 + 5X) * (-15 + 4x)
-5 + 2x + (15(-15 + 4x) + 5X * (-15 + 4x)) = 180
-5 + 2x + ((-15 * 15 + 4x * 15) + 5X * (-15 + 4x)) = 180
-5 + 2x + ((-225 + 60x) + 5X * (-15 + 4x)) = 180
-5 + 2x + (-225 + 60x + (-15 * 5X + 4x * 5X)) = 180
-5 + 2x + (-225 + 60x + (-75X + 20xX)) = 180

Reorder the terms:
-5 + 2x + (-225 + -75X + 60x + 20xX) = 180
-5 + 2x + (-225 + -75X + 60x + 20xX) = 180

Reorder the terms:
-5 + -225 + -75X + 2x + 60x + 20xX = 180

Combine like terms: -5 + -225 = -230
-230 + -75X + 2x + 60x + 20xX = 180

Combine like terms: 2x + 60x = 62x
-230 + -75X + 62x + 20xX = 180

Solving
-230 + -75X + 62x + 20xX = 180

Solving for variable 'X'.

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

Add '230' to each side of the equation.
-230 + -75X + 62x + 230 + 20xX = 180 + 230

Reorder the terms:
-230 + 230 + -75X + 62x + 20xX = 180 + 230

Combine like terms: -230 + 230 = 0
0 + -75X + 62x + 20xX = 180 + 230
-75X + 62x + 20xX = 180 + 230

Combine like terms: 180 + 230 = 410
-75X + 62x + 20xX = 410

Add '-62x' to each side of the equation.
-75X + 62x + -62x + 20xX = 410 + -62x

Combine like terms: 62x + -62x = 0
-75X + 0 + 20xX = 410 + -62x
-75X + 20xX = 410 + -62x

Reorder the terms:
-410 + -75X + 62x + 20xX = 410 + -62x + -410 + 62x

Reorder the terms:
-410 + -75X + 62x + 20xX = 410 + -410 + -62x + 62x

Combine like terms: 410 + -410 = 0
-410 + -75X + 62x + 20xX = 0 + -62x + 62x
-410 + -75X + 62x + 20xX = -62x + 62x

Combine like terms: -62x + 62x = 0
-410 + -75X + 62x + 20xX = 0

The solution to this equation could not be determined.

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