x^2-8x(x-3)=0

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Solution for x^2-8x(x-3)=0 equation: 


Simplifying
x2 + -8x(x + -3) = 0

Reorder the terms:
x2 + -8x(-3 + x) = 0
x2 + (-3 * -8x + x * -8x) = 0
x2 + (24x + -8x2) = 0

Reorder the terms:
24x + x2 + -8x2 = 0

Combine like terms: x2 + -8x2 = -7x2
24x + -7x2 = 0

Solving
24x + -7x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(24 + -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 '(24 + -7x)' equal to zero and attempt to solve:

Simplifying
24 + -7x = 0

Solving
24 + -7x = 0

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

Add '-24' to each side of the equation.
24 + -24 + -7x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -7x = 0 + -24
-7x = 0 + -24

Combine like terms: 0 + -24 = -24
-7x = -24

Divide each side by '-7'.
x = 3.428571429

Simplifying
x = 3.428571429
Solution
x = {0, 3.428571429}

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