5r(2a)=2x^2-5x+1

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Solution for 5r(2a)=2x^2-5x+1 equation:


Simplifying
5r(2a) = 2x2 + -5x + 1

Remove parenthesis around (2a)
5r * 2a = 2x2 + -5x + 1

Reorder the terms for easier multiplication:
5 * 2r * a = 2x2 + -5x + 1

Multiply 5 * 2
10r * a = 2x2 + -5x + 1

Multiply r * a
10ar = 2x2 + -5x + 1

Reorder the terms:
10ar = 1 + -5x + 2x2

Solving
10ar = 1 + -5x + 2x2

Solving for variable 'a'.

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

Divide each side by '10r'.
a = 0.1r-1 + -0.5r-1x + 0.2r-1x2

Simplifying
a = 0.1r-1 + -0.5r-1x + 0.2r-1x2

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