(X+5)(x+5)(x+5)=-24

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Solution for (X+5)(x+5)(x+5)=-24 equation: 


Simplifying
(X + 5)(x + 5)(x + 5) = -24

Reorder the terms:
(5 + X)(x + 5)(x + 5) = -24

Reorder the terms:
(5 + X)(5 + x)(x + 5) = -24

Reorder the terms:
(5 + X)(5 + x)(5 + x) = -24

Multiply (5 + X) * (5 + x)
(5(5 + x) + X(5 + x))(5 + x) = -24
((5 * 5 + x * 5) + X(5 + x))(5 + x) = -24
((25 + 5x) + X(5 + x))(5 + x) = -24
(25 + 5x + (5 * X + x * X))(5 + x) = -24
(25 + 5x + (5X + xX))(5 + x) = -24

Reorder the terms:
(25 + 5X + 5x + xX)(5 + x) = -24
(25 + 5X + 5x + xX)(5 + x) = -24

Multiply (25 + 5X + 5x + xX) * (5 + x)
(25(5 + x) + 5X * (5 + x) + 5x * (5 + x) + xX(5 + x)) = -24
((5 * 25 + x * 25) + 5X * (5 + x) + 5x * (5 + x) + xX(5 + x)) = -24
((125 + 25x) + 5X * (5 + x) + 5x * (5 + x) + xX(5 + x)) = -24
(125 + 25x + (5 * 5X + x * 5X) + 5x * (5 + x) + xX(5 + x)) = -24
(125 + 25x + (25X + 5xX) + 5x * (5 + x) + xX(5 + x)) = -24
(125 + 25x + 25X + 5xX + (5 * 5x + x * 5x) + xX(5 + x)) = -24
(125 + 25x + 25X + 5xX + (25x + 5x2) + xX(5 + x)) = -24
(125 + 25x + 25X + 5xX + 25x + 5x2 + (5 * xX + x * xX)) = -24
(125 + 25x + 25X + 5xX + 25x + 5x2 + (5xX + x2X)) = -24

Reorder the terms:
(125 + 25X + 25x + 25x + 5xX + 5xX + 5x2 + x2X) = -24

Combine like terms: 25x + 25x = 50x
(125 + 25X + 50x + 5xX + 5xX + 5x2 + x2X) = -24

Combine like terms: 5xX + 5xX = 10xX
(125 + 25X + 50x + 10xX + 5x2 + x2X) = -24

Solving
125 + 25X + 50x + 10xX + 5x2 + x2X = -24

Solving for variable 'X'.

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

Add '-125' to each side of the equation.
125 + 25X + 50x + 10xX + 5x2 + -125 + x2X = -24 + -125

Reorder the terms:
125 + -125 + 25X + 50x + 10xX + 5x2 + x2X = -24 + -125

Combine like terms: 125 + -125 = 0
0 + 25X + 50x + 10xX + 5x2 + x2X = -24 + -125
25X + 50x + 10xX + 5x2 + x2X = -24 + -125

Combine like terms: -24 + -125 = -149
25X + 50x + 10xX + 5x2 + x2X = -149

Add '-50x' to each side of the equation.
25X + 50x + 10xX + 5x2 + -50x + x2X = -149 + -50x

Reorder the terms:
25X + 50x + -50x + 10xX + 5x2 + x2X = -149 + -50x

Combine like terms: 50x + -50x = 0
25X + 0 + 10xX + 5x2 + x2X = -149 + -50x
25X + 10xX + 5x2 + x2X = -149 + -50x

Add '-5x2' to each side of the equation.
25X + 10xX + 5x2 + -5x2 + x2X = -149 + -50x + -5x2

Combine like terms: 5x2 + -5x2 = 0
25X + 10xX + 0 + x2X = -149 + -50x + -5x2
25X + 10xX + x2X = -149 + -50x + -5x2

Reorder the terms:
149 + 25X + 50x + 10xX + 5x2 + x2X = -149 + -50x + -5x2 + 149 + 50x + 5x2

Reorder the terms:
149 + 25X + 50x + 10xX + 5x2 + x2X = -149 + 149 + -50x + 50x + -5x2 + 5x2

Combine like terms: -149 + 149 = 0
149 + 25X + 50x + 10xX + 5x2 + x2X = 0 + -50x + 50x + -5x2 + 5x2
149 + 25X + 50x + 10xX + 5x2 + x2X = -50x + 50x + -5x2 + 5x2

Combine like terms: -50x + 50x = 0
149 + 25X + 50x + 10xX + 5x2 + x2X = 0 + -5x2 + 5x2
149 + 25X + 50x + 10xX + 5x2 + x2X = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
149 + 25X + 50x + 10xX + 5x2 + x2X = 0

The solution to this equation could not be determined.

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