60*5x=3x*8x

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Solution for 60*5x=3x*8x equation: 


Simplifying
60 * 5x = 3x * 8x

Multiply 60 * 5
300x = 3x * 8x

Reorder the terms for easier multiplication:
300x = 3 * 8x * x

Multiply 3 * 8
300x = 24x * x

Multiply x * x
300x = 24x2

Solving
300x = 24x2

Solving for variable 'x'.

Combine like terms: 24x2 + -24x2 = 0
300x + -24x2 = 0

Factor out the Greatest Common Factor (GCF), '12x'.
12x(25 + -2x) = 0

Ignore the factor 12.

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 '(25 + -2x)' equal to zero and attempt to solve:

Simplifying
25 + -2x = 0

Solving
25 + -2x = 0

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

Add '-25' to each side of the equation.
25 + -25 + -2x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -2x = 0 + -25
-2x = 0 + -25

Combine like terms: 0 + -25 = -25
-2x = -25

Divide each side by '-2'.
x = 12.5

Simplifying
x = 12.5
Solution
x = {0, 12.5}

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