5.0e-6=(0.10+x)*(2x^2)

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Solution for 5.0e-6=(0.10+x)*(2x^2) equation:


Simplifying
5.0e + -6 = (0.10 + x)(2x2)

Reorder the terms:
-6 + 5.0e = (0.10 + x)(2x2)

Remove parenthesis around (2x2)
-6 + 5.0e = (0.10 + x) * 2x2

Reorder the terms for easier multiplication:
-6 + 5.0e = 2x2(0.10 + x)
-6 + 5.0e = (0.10 * 2x2 + x * 2x2)
-6 + 5.0e = (0.2x2 + 2x3)

Solving
-6 + 5.0e = 0.2x2 + 2x3

Solving for variable 'e'.

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

Add '6' to each side of the equation.
-6 + 6 + 5.0e = 0.2x2 + 6 + 2x3

Combine like terms: -6 + 6 = 0
0 + 5.0e = 0.2x2 + 6 + 2x3
5.0e = 0.2x2 + 6 + 2x3

Reorder the terms:
5.0e = 6 + 0.2x2 + 2x3

Divide each side by '5.0'.
e = 1.2 + 0.04x2 + 0.4x3

Simplifying
e = 1.2 + 0.04x2 + 0.4x3

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