x(x+36-8x)=0

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Solution for x(x+36-8x)=0 equation: 


Simplifying
x(x + 36 + -8x) = 0

Reorder the terms:
x(36 + x + -8x) = 0

Combine like terms: x + -8x = -7x
x(36 + -7x) = 0
(36 * x + -7x * x) = 0
(36x + -7x2) = 0

Solving
36x + -7x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(36 + -7x) = 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 '(36 + -7x)' equal to zero and attempt to solve:

Simplifying
36 + -7x = 0

Solving
36 + -7x = 0

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

Add '-36' to each side of the equation.
36 + -36 + -7x = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -7x = 0 + -36
-7x = 0 + -36

Combine like terms: 0 + -36 = -36
-7x = -36

Divide each side by '-7'.
x = 5.142857143

Simplifying
x = 5.142857143
Solution
x = {0, 5.142857143}

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