25x=30x*x

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Solution for 25x=30x*x equation: 


Simplifying
25x = 30x * x

Multiply x * x
25x = 30x2

Solving
25x = 30x2

Solving for variable 'x'.

Combine like terms: 30x2 + -30x2 = 0
25x + -30x2 = 0

Factor out the Greatest Common Factor (GCF), '5x'.
5x(5 + -6x) = 0

Ignore the factor 5.

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 '(5 + -6x)' equal to zero and attempt to solve:

Simplifying
5 + -6x = 0

Solving
5 + -6x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -6x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6x = 0 + -5
-6x = 0 + -5

Combine like terms: 0 + -5 = -5
-6x = -5

Divide each side by '-6'.
x = 0.8333333333

Simplifying
x = 0.8333333333
Solution
x = {0, 0.8333333333}

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