16(3.14)=250(3.14)-10(3.14)r^2

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Solution for 16(3.14)=250(3.14)-10(3.14)r^2 equation:


Simplifying
16(3.14) = 250(3.14) + -10(3.14) * r2

Multiply 16 * 3.14
50.24 = 250(3.14) + -10(3.14) * r2

Multiply 250 * 3.14
50.24 = 785 + -10(3.14) * r2

Multiply -10 * 3.14
50.24 = 785 + -31.4r2

Solving
50.24 = 785 + -31.4r2

Solving for variable 'r'.

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

Add '31.4r2' to each side of the equation.
50.24 + 31.4r2 = 785 + -31.4r2 + 31.4r2

Combine like terms: -31.4r2 + 31.4r2 = 0.0
50.24 + 31.4r2 = 785 + 0.0
50.24 + 31.4r2 = 785

Add '-50.24' to each side of the equation.
50.24 + -50.24 + 31.4r2 = 785 + -50.24

Combine like terms: 50.24 + -50.24 = 0.00
0.00 + 31.4r2 = 785 + -50.24
31.4r2 = 785 + -50.24

Combine like terms: 785 + -50.24 = 734.76
31.4r2 = 734.76

Divide each side by '31.4'.
r2 = 23.4

Simplifying
r2 = 23.4

Take the square root of each side:
r = {-4.837354649, 4.837354649}

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