495=x(x+2)5

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Solution for 495=x(x+2)5 equation: 


Simplifying
495 = x(x + 2) * 5

Reorder the terms:
495 = x(2 + x) * 5

Reorder the terms for easier multiplication:
495 = 5x(2 + x)
495 = (2 * 5x + x * 5x)
495 = (10x + 5x2)

Solving
495 = 10x + 5x2

Solving for variable 'x'.

Reorder the terms:
495 + -10x + -5x2 = 10x + -10x + 5x2 + -5x2

Combine like terms: 10x + -10x = 0
495 + -10x + -5x2 = 0 + 5x2 + -5x2
495 + -10x + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
495 + -10x + -5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(99 + -2x + -1x2) = 0

Factor a trinomial.
5((9 + -1x)(11 + x)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

Subproblem 2
Set the factor '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

Solving
11 + x = 0

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

Add '-11' to each side of the equation.
11 + -11 + x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + x = 0 + -11
x = 0 + -11

Combine like terms: 0 + -11 = -11
x = -11

Simplifying
x = -11
Solution
x = {9, -11}

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