(X-4)(2x+5)=2x^2-4(4x-24)+1

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Solution for (X-4)(2x+5)=2x^2-4(4x-24)+1 equation: 


Simplifying
(X + -4)(2x + 5) = 2x2 + -4(4x + -24) + 1

Reorder the terms:
(-4 + X)(2x + 5) = 2x2 + -4(4x + -24) + 1

Reorder the terms:
(-4 + X)(5 + 2x) = 2x2 + -4(4x + -24) + 1

Multiply (-4 + X) * (5 + 2x)
(-4(5 + 2x) + X(5 + 2x)) = 2x2 + -4(4x + -24) + 1
((5 * -4 + 2x * -4) + X(5 + 2x)) = 2x2 + -4(4x + -24) + 1
((-20 + -8x) + X(5 + 2x)) = 2x2 + -4(4x + -24) + 1
(-20 + -8x + (5 * X + 2x * X)) = 2x2 + -4(4x + -24) + 1
(-20 + -8x + (5X + 2xX)) = 2x2 + -4(4x + -24) + 1

Reorder the terms:
(-20 + 5X + -8x + 2xX) = 2x2 + -4(4x + -24) + 1
(-20 + 5X + -8x + 2xX) = 2x2 + -4(4x + -24) + 1

Reorder the terms:
-20 + 5X + -8x + 2xX = 2x2 + -4(-24 + 4x) + 1
-20 + 5X + -8x + 2xX = 2x2 + (-24 * -4 + 4x * -4) + 1
-20 + 5X + -8x + 2xX = 2x2 + (96 + -16x) + 1

Reorder the terms:
-20 + 5X + -8x + 2xX = 96 + 1 + -16x + 2x2

Combine like terms: 96 + 1 = 97
-20 + 5X + -8x + 2xX = 97 + -16x + 2x2

Solving
-20 + 5X + -8x + 2xX = 97 + -16x + 2x2

Solving for variable 'X'.

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

Add '20' to each side of the equation.
-20 + 5X + -8x + 20 + 2xX = 97 + -16x + 20 + 2x2

Reorder the terms:
-20 + 20 + 5X + -8x + 2xX = 97 + -16x + 20 + 2x2

Combine like terms: -20 + 20 = 0
0 + 5X + -8x + 2xX = 97 + -16x + 20 + 2x2
5X + -8x + 2xX = 97 + -16x + 20 + 2x2

Reorder the terms:
5X + -8x + 2xX = 97 + 20 + -16x + 2x2

Combine like terms: 97 + 20 = 117
5X + -8x + 2xX = 117 + -16x + 2x2

Add '8x' to each side of the equation.
5X + -8x + 8x + 2xX = 117 + -16x + 8x + 2x2

Combine like terms: -8x + 8x = 0
5X + 0 + 2xX = 117 + -16x + 8x + 2x2
5X + 2xX = 117 + -16x + 8x + 2x2

Combine like terms: -16x + 8x = -8x
5X + 2xX = 117 + -8x + 2x2

Reorder the terms:
-117 + 5X + 8x + 2xX + -2x2 = 117 + -8x + 2x2 + -117 + 8x + -2x2

Reorder the terms:
-117 + 5X + 8x + 2xX + -2x2 = 117 + -117 + -8x + 8x + 2x2 + -2x2

Combine like terms: 117 + -117 = 0
-117 + 5X + 8x + 2xX + -2x2 = 0 + -8x + 8x + 2x2 + -2x2
-117 + 5X + 8x + 2xX + -2x2 = -8x + 8x + 2x2 + -2x2

Combine like terms: -8x + 8x = 0
-117 + 5X + 8x + 2xX + -2x2 = 0 + 2x2 + -2x2
-117 + 5X + 8x + 2xX + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-117 + 5X + 8x + 2xX + -2x2 = 0

The solution to this equation could not be determined.

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