(X-3)(2x+5)=2(x^2+7x-5)+5

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Solution for (X-3)(2x+5)=2(x^2+7x-5)+5 equation: 


Simplifying
(X + -3)(2x + 5) = 2(x2 + 7x + -5) + 5

Reorder the terms:
(-3 + X)(2x + 5) = 2(x2 + 7x + -5) + 5

Reorder the terms:
(-3 + X)(5 + 2x) = 2(x2 + 7x + -5) + 5

Multiply (-3 + X) * (5 + 2x)
(-3(5 + 2x) + X(5 + 2x)) = 2(x2 + 7x + -5) + 5
((5 * -3 + 2x * -3) + X(5 + 2x)) = 2(x2 + 7x + -5) + 5
((-15 + -6x) + X(5 + 2x)) = 2(x2 + 7x + -5) + 5
(-15 + -6x + (5 * X + 2x * X)) = 2(x2 + 7x + -5) + 5
(-15 + -6x + (5X + 2xX)) = 2(x2 + 7x + -5) + 5

Reorder the terms:
(-15 + 5X + -6x + 2xX) = 2(x2 + 7x + -5) + 5
(-15 + 5X + -6x + 2xX) = 2(x2 + 7x + -5) + 5

Reorder the terms:
-15 + 5X + -6x + 2xX = 2(-5 + 7x + x2) + 5
-15 + 5X + -6x + 2xX = (-5 * 2 + 7x * 2 + x2 * 2) + 5
-15 + 5X + -6x + 2xX = (-10 + 14x + 2x2) + 5

Reorder the terms:
-15 + 5X + -6x + 2xX = -10 + 5 + 14x + 2x2

Combine like terms: -10 + 5 = -5
-15 + 5X + -6x + 2xX = -5 + 14x + 2x2

Solving
-15 + 5X + -6x + 2xX = -5 + 14x + 2x2

Solving for variable 'X'.

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

Add '15' to each side of the equation.
-15 + 5X + -6x + 15 + 2xX = -5 + 14x + 15 + 2x2

Reorder the terms:
-15 + 15 + 5X + -6x + 2xX = -5 + 14x + 15 + 2x2

Combine like terms: -15 + 15 = 0
0 + 5X + -6x + 2xX = -5 + 14x + 15 + 2x2
5X + -6x + 2xX = -5 + 14x + 15 + 2x2

Reorder the terms:
5X + -6x + 2xX = -5 + 15 + 14x + 2x2

Combine like terms: -5 + 15 = 10
5X + -6x + 2xX = 10 + 14x + 2x2

Add '6x' to each side of the equation.
5X + -6x + 6x + 2xX = 10 + 14x + 6x + 2x2

Combine like terms: -6x + 6x = 0
5X + 0 + 2xX = 10 + 14x + 6x + 2x2
5X + 2xX = 10 + 14x + 6x + 2x2

Combine like terms: 14x + 6x = 20x
5X + 2xX = 10 + 20x + 2x2

Reorder the terms:
-10 + 5X + -20x + 2xX + -2x2 = 10 + 20x + 2x2 + -10 + -20x + -2x2

Reorder the terms:
-10 + 5X + -20x + 2xX + -2x2 = 10 + -10 + 20x + -20x + 2x2 + -2x2

Combine like terms: 10 + -10 = 0
-10 + 5X + -20x + 2xX + -2x2 = 0 + 20x + -20x + 2x2 + -2x2
-10 + 5X + -20x + 2xX + -2x2 = 20x + -20x + 2x2 + -2x2

Combine like terms: 20x + -20x = 0
-10 + 5X + -20x + 2xX + -2x2 = 0 + 2x2 + -2x2
-10 + 5X + -20x + 2xX + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-10 + 5X + -20x + 2xX + -2x2 = 0

The solution to this equation could not be determined.

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