X^2+10x+25=(1-x)(x+5)

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Solution for X^2+10x+25=(1-x)(x+5) equation: 


Simplifying
X2 + 10x + 25 = (1 + -1x)(x + 5)

Reorder the terms:
25 + X2 + 10x = (1 + -1x)(x + 5)

Reorder the terms:
25 + X2 + 10x = (1 + -1x)(5 + x)

Multiply (1 + -1x) * (5 + x)
25 + X2 + 10x = (1(5 + x) + -1x * (5 + x))
25 + X2 + 10x = ((5 * 1 + x * 1) + -1x * (5 + x))
25 + X2 + 10x = ((5 + 1x) + -1x * (5 + x))
25 + X2 + 10x = (5 + 1x + (5 * -1x + x * -1x))
25 + X2 + 10x = (5 + 1x + (-5x + -1x2))

Combine like terms: 1x + -5x = -4x
25 + X2 + 10x = (5 + -4x + -1x2)

Solving
25 + X2 + 10x = 5 + -4x + -1x2

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 + X2 + -25 + 10x = 5 + -4x + -25 + -1x2

Reorder the terms:
25 + -25 + X2 + 10x = 5 + -4x + -25 + -1x2

Combine like terms: 25 + -25 = 0
0 + X2 + 10x = 5 + -4x + -25 + -1x2
X2 + 10x = 5 + -4x + -25 + -1x2

Reorder the terms:
X2 + 10x = 5 + -25 + -4x + -1x2

Combine like terms: 5 + -25 = -20
X2 + 10x = -20 + -4x + -1x2

Add '-10x' to each side of the equation.
X2 + 10x + -10x = -20 + -4x + -10x + -1x2

Combine like terms: 10x + -10x = 0
X2 + 0 = -20 + -4x + -10x + -1x2
X2 = -20 + -4x + -10x + -1x2

Combine like terms: -4x + -10x = -14x
X2 = -20 + -14x + -1x2

Simplifying
X2 = -20 + -14x + -1x2

Reorder the terms:
20 + X2 + 14x + x2 = -20 + -14x + -1x2 + 20 + 14x + x2

Reorder the terms:
20 + X2 + 14x + x2 = -20 + 20 + -14x + 14x + -1x2 + x2

Combine like terms: -20 + 20 = 0
20 + X2 + 14x + x2 = 0 + -14x + 14x + -1x2 + x2
20 + X2 + 14x + x2 = -14x + 14x + -1x2 + x2

Combine like terms: -14x + 14x = 0
20 + X2 + 14x + x2 = 0 + -1x2 + x2
20 + X2 + 14x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
20 + X2 + 14x + x2 = 0

The solution to this equation could not be determined.

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