x=-x(7-x)

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Solution for x=-x(7-x) equation:


Simplifying
x = -1x(7 + -1x)
x = (7 * -1x + -1x * -1x)
x = (-7x + 1x2)

Solving
x = -7x + 1x2

Solving for variable 'x'.

Combine like terms: x + 7x = 8x
8x + -1x2 = -7x + 1x2 + 7x + -1x2

Reorder the terms:
8x + -1x2 = -7x + 7x + 1x2 + -1x2

Combine like terms: -7x + 7x = 0
8x + -1x2 = 0 + 1x2 + -1x2
8x + -1x2 = 1x2 + -1x2

Combine like terms: 1x2 + -1x2 = 0
8x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(8 + -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 '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {0, 8}

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