471.23=6.28h^2+6.28h*2h

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Solution for 471.23=6.28h^2+6.28h*2h equation: 


Simplifying
471.23 = 6.28h2 + 6.28h * 2h

Reorder the terms for easier multiplication:
471.23 = 6.28h2 + 6.28 * 2h * h

Multiply 6.28 * 2
471.23 = 6.28h2 + 12.56h * h

Multiply h * h
471.23 = 6.28h2 + 12.56h2

Combine like terms: 6.28h2 + 12.56h2 = 18.84h2
471.23 = 18.84h2

Solving
471.23 = 18.84h2

Solving for variable 'h'.

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

Add '-18.84h2' to each side of the equation.
471.23 + -18.84h2 = 18.84h2 + -18.84h2

Combine like terms: 18.84h2 + -18.84h2 = 0.00
471.23 + -18.84h2 = 0.00

Add '-471.23' to each side of the equation.
471.23 + -471.23 + -18.84h2 = 0.00 + -471.23

Combine like terms: 471.23 + -471.23 = 0.00
0.00 + -18.84h2 = 0.00 + -471.23
-18.84h2 = 0.00 + -471.23

Combine like terms: 0.00 + -471.23 = -471.23
-18.84h2 = -471.23

Divide each side by '-18.84'.
h2 = 25.01220807

Simplifying
h2 = 25.01220807

Take the square root of each side:
h = {-5.001220658, 5.001220658}

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