(2x)(12x+0.5x)(0.5x+1x)x=40

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Solution for (2x)(12x+0.5x)(0.5x+1x)x=40 equation:


Simplifying
(2x)(12x + 0.5x)(0.5x + 1x) * x = 40

Remove parenthesis around (2x)
2x(12x + 0.5x)(0.5x + 1x) * x = 40

Combine like terms: 12x + 0.5x = 12.5x
2x(12.5x)(0.5x + 1x) * x = 40

Remove parenthesis around (12.5x)
2x * 12.5x(0.5x + 1x) * x = 40

Combine like terms: 0.5x + 1x = 1.5x
2x * 12.5x(1.5x) * x = 40

Remove parenthesis around (1.5x)
2x * 12.5x * 1.5x * x = 40

Reorder the terms for easier multiplication:
2 * 12.5 * 1.5x * x * x * x = 40

Multiply 2 * 12.5
25 * 1.5x * x * x * x = 40

Multiply 25 * 1.5
37.5x * x * x * x = 40

Multiply x * x
37.5x2 * x * x = 40

Multiply x2 * x
37.5x3 * x = 40

Multiply x3 * x
37.5x4 = 40

Solving
37.5x4 = 40

Solving for variable 'x'.

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

Divide each side by '37.5'.
x4 = 1.066666667

Simplifying
x4 = 1.066666667

Reorder the terms:
-1.066666667 + x4 = 1.066666667 + -1.066666667

Combine like terms: 1.066666667 + -1.066666667 = 0.000000000
-1.066666667 + x4 = 0.000000000

The solution to this equation could not be determined.

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