(X^2-4x-5)(2x+5)=0

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Solution for (X^2-4x-5)(2x+5)=0 equation: 


Simplifying
(X2 + -4x + -5)(2x + 5) = 0

Reorder the terms:
(-5 + X2 + -4x)(2x + 5) = 0

Reorder the terms:
(-5 + X2 + -4x)(5 + 2x) = 0

Multiply (-5 + X2 + -4x) * (5 + 2x)
(-5(5 + 2x) + X2(5 + 2x) + -4x * (5 + 2x)) = 0
((5 * -5 + 2x * -5) + X2(5 + 2x) + -4x * (5 + 2x)) = 0
((-25 + -10x) + X2(5 + 2x) + -4x * (5 + 2x)) = 0
(-25 + -10x + (5 * X2 + 2x * X2) + -4x * (5 + 2x)) = 0
(-25 + -10x + (5X2 + 2xX2) + -4x * (5 + 2x)) = 0
(-25 + -10x + 5X2 + 2xX2 + (5 * -4x + 2x * -4x)) = 0
(-25 + -10x + 5X2 + 2xX2 + (-20x + -8x2)) = 0

Reorder the terms:
(-25 + 5X2 + -10x + -20x + 2xX2 + -8x2) = 0

Combine like terms: -10x + -20x = -30x
(-25 + 5X2 + -30x + 2xX2 + -8x2) = 0

Solving
-25 + 5X2 + -30x + 2xX2 + -8x2 = 0

Solving for variable 'X'.

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

Add '25' to each side of the equation.
-25 + 5X2 + -30x + 2xX2 + 25 + -8x2 = 0 + 25

Reorder the terms:
-25 + 25 + 5X2 + -30x + 2xX2 + -8x2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 5X2 + -30x + 2xX2 + -8x2 = 0 + 25
5X2 + -30x + 2xX2 + -8x2 = 0 + 25

Combine like terms: 0 + 25 = 25
5X2 + -30x + 2xX2 + -8x2 = 25

Add '30x' to each side of the equation.
5X2 + -30x + 2xX2 + 30x + -8x2 = 25 + 30x

Reorder the terms:
5X2 + -30x + 30x + 2xX2 + -8x2 = 25 + 30x

Combine like terms: -30x + 30x = 0
5X2 + 0 + 2xX2 + -8x2 = 25 + 30x
5X2 + 2xX2 + -8x2 = 25 + 30x

Add '8x2' to each side of the equation.
5X2 + 2xX2 + -8x2 + 8x2 = 25 + 30x + 8x2

Combine like terms: -8x2 + 8x2 = 0
5X2 + 2xX2 + 0 = 25 + 30x + 8x2
5X2 + 2xX2 = 25 + 30x + 8x2

Reorder the terms:
-25 + 5X2 + -30x + 2xX2 + -8x2 = 25 + 30x + 8x2 + -25 + -30x + -8x2

Reorder the terms:
-25 + 5X2 + -30x + 2xX2 + -8x2 = 25 + -25 + 30x + -30x + 8x2 + -8x2

Combine like terms: 25 + -25 = 0
-25 + 5X2 + -30x + 2xX2 + -8x2 = 0 + 30x + -30x + 8x2 + -8x2
-25 + 5X2 + -30x + 2xX2 + -8x2 = 30x + -30x + 8x2 + -8x2

Combine like terms: 30x + -30x = 0
-25 + 5X2 + -30x + 2xX2 + -8x2 = 0 + 8x2 + -8x2
-25 + 5X2 + -30x + 2xX2 + -8x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-25 + 5X2 + -30x + 2xX2 + -8x2 = 0

The solution to this equation could not be determined.

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