0=x(x-7)

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Solution for 0=x(x-7) equation: 


Simplifying
0 = x(x + -7)

Reorder the terms:
0 = x(-7 + x)
0 = (-7 * x + x * x)
0 = (-7x + x2)

Solving
0 = -7x + x2

Solving for variable 'x'.
Remove the zero:
7x + -1x2 = -7x + x2 + 7x + -1x2

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

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

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(7 + -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 '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

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

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

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {0, 7}

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