9x=2x(10*2x)

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Solution for 9x=2x(10*2x) equation: 


Simplifying
9x = 2x(10 * 2x)

Multiply 10 * 2
9x = 2x(20x)

Remove parenthesis around (20x)
9x = 2x * 20x

Reorder the terms for easier multiplication:
9x = 2 * 20x * x

Multiply 2 * 20
9x = 40x * x

Multiply x * x
9x = 40x2

Solving
9x = 40x2

Solving for variable 'x'.

Combine like terms: 40x2 + -40x2 = 0
9x + -40x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(9 + -40x) = 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 '(9 + -40x)' equal to zero and attempt to solve:

Simplifying
9 + -40x = 0

Solving
9 + -40x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -40x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -40x = 0 + -9
-40x = 0 + -9

Combine like terms: 0 + -9 = -9
-40x = -9

Divide each side by '-40'.
x = 0.225

Simplifying
x = 0.225
Solution
x = {0, 0.225}

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