500=.5(4x)(20x^2)

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Solution for 500=.5(4x)(20x^2) equation:


Simplifying
500 = 0.5(4x)(20x2)

Remove parenthesis around (4x)
500 = 0.5 * 4x(20x2)

Remove parenthesis around (20x2)
500 = 0.5 * 4x * 20x2

Reorder the terms for easier multiplication:
500 = 0.5 * 4 * 20x * x2

Multiply 0.5 * 4
500 = 2 * 20x * x2

Multiply 2 * 20
500 = 40x * x2

Multiply x * x2
500 = 40x3

Solving
500 = 40x3

Solving for variable 'x'.

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

Add '-40x3' to each side of the equation.
500 + -40x3 = 40x3 + -40x3

Combine like terms: 40x3 + -40x3 = 0
500 + -40x3 = 0

Add '-500' to each side of the equation.
500 + -500 + -40x3 = 0 + -500

Combine like terms: 500 + -500 = 0
0 + -40x3 = 0 + -500
-40x3 = 0 + -500

Combine like terms: 0 + -500 = -500
-40x3 = -500

Divide each side by '-40'.
x3 = 12.5

Simplifying
x3 = 12.5

Reorder the terms:
-12.5 + x3 = 12.5 + -12.5

Combine like terms: 12.5 + -12.5 = 0.0
-12.5 + x3 = 0.0

The solution to this equation could not be determined.

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