5x*4x=90x

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Solution for 5x*4x=90x equation: 


Simplifying
5x * 4x = 90x

Reorder the terms for easier multiplication:
5 * 4x * x = 90x

Multiply 5 * 4
20x * x = 90x

Multiply x * x
20x2 = 90x

Solving
20x2 = 90x

Solving for variable 'x'.

Reorder the terms:
-90x + 20x2 = 90x + -90x

Combine like terms: 90x + -90x = 0
-90x + 20x2 = 0

Factor out the Greatest Common Factor (GCF), '10x'.
10x(-9 + 2x) = 0

Ignore the factor 10.

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

Simplifying
-9 + 2x = 0

Solving
-9 + 2x = 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 + 2x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = 0 + 9
2x = 0 + 9

Combine like terms: 0 + 9 = 9
2x = 9

Divide each side by '2'.
x = 4.5

Simplifying
x = 4.5
Solution
x = {0, 4.5}

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