x(3-x)+3x-5=6x-5-xsqaured

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Solution for x(3-x)+3x-5=6x-5-xsqaured equation: 


Simplifying
x(3 + -1x) + 3x + -5 = 6x + -5 + -1xsqaured
(3 * x + -1x * x) + 3x + -5 = 6x + -5 + -1xsqaured
(3x + -1x2) + 3x + -5 = 6x + -5 + -1xsqaured

Reorder the terms:
-5 + 3x + 3x + -1x2 = 6x + -5 + -1xsqaured

Combine like terms: 3x + 3x = 6x
-5 + 6x + -1x2 = 6x + -5 + -1xsqaured

Reorder the terms:
-5 + 6x + -1x2 = -5 + -1adeqrsux + 6x

Add '5' to each side of the equation.
-5 + 6x + 5 + -1x2 = -5 + -1adeqrsux + 5 + 6x

Reorder the terms:
-5 + 5 + 6x + -1x2 = -5 + -1adeqrsux + 5 + 6x

Combine like terms: -5 + 5 = 0
0 + 6x + -1x2 = -5 + -1adeqrsux + 5 + 6x
6x + -1x2 = -5 + -1adeqrsux + 5 + 6x

Reorder the terms:
6x + -1x2 = -5 + 5 + -1adeqrsux + 6x

Combine like terms: -5 + 5 = 0
6x + -1x2 = 0 + -1adeqrsux + 6x
6x + -1x2 = -1adeqrsux + 6x

Add '-6x' to each side of the equation.
6x + -6x + -1x2 = -1adeqrsux + 6x + -6x

Combine like terms: 6x + -6x = 0
0 + -1x2 = -1adeqrsux + 6x + -6x
-1x2 = -1adeqrsux + 6x + -6x

Combine like terms: 6x + -6x = 0
-1x2 = -1adeqrsux + 0
-1x2 = -1adeqrsux

Solving
-1x2 = -1adeqrsux

Solving for variable 'x'.

Reorder the terms:
adeqrsux + -1x2 = -1adeqrsux + adeqrsux

Combine like terms: -1adeqrsux + adeqrsux = 0
adeqrsux + -1x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(adeqrsu + -1x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(adeqrsu + -1x)' equal to zero and attempt to solve:

Simplifying
adeqrsu + -1x = 0

Solving
adeqrsu + -1x = 0

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

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

Combine like terms: adeqrsu + -1adeqrsu = 0
0 + -1x = 0 + -1adeqrsu
-1x = 0 + -1adeqrsu
Remove the zero:
-1x = -1adeqrsu

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

Simplifying
x = adeqrsu
Solution
x = {0, adeqrsu}

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