(x-5)(x^2+5x+25)=0

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Solution for (x-5)(x^2+5x+25)=0 equation:


Simplifying
(x + -5)(x2 + 5x + 25) = 0

Reorder the terms:
(-5 + x)(x2 + 5x + 25) = 0

Reorder the terms:
(-5 + x)(25 + 5x + x2) = 0

Multiply (-5 + x) * (25 + 5x + x2)
(-5(25 + 5x + x2) + x(25 + 5x + x2)) = 0
((25 * -5 + 5x * -5 + x2 * -5) + x(25 + 5x + x2)) = 0
((-125 + -25x + -5x2) + x(25 + 5x + x2)) = 0
(-125 + -25x + -5x2 + (25 * x + 5x * x + x2 * x)) = 0
(-125 + -25x + -5x2 + (25x + 5x2 + x3)) = 0

Reorder the terms:
(-125 + -25x + 25x + -5x2 + 5x2 + x3) = 0

Combine like terms: -25x + 25x = 0
(-125 + 0 + -5x2 + 5x2 + x3) = 0
(-125 + -5x2 + 5x2 + x3) = 0

Combine like terms: -5x2 + 5x2 = 0
(-125 + 0 + x3) = 0
(-125 + x3) = 0

Solving
-125 + x3 = 0

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 + 125 + x3 = 0 + 125

Combine like terms: -125 + 125 = 0
0 + x3 = 0 + 125
x3 = 0 + 125

Combine like terms: 0 + 125 = 125
x3 = 125

Simplifying
x3 = 125

Reorder the terms:
-125 + x3 = 125 + -125

Combine like terms: 125 + -125 = 0
-125 + x3 = 0

The solution to this equation could not be determined.

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