(30(h*(2*r)))+(20(pi*(r^2)))+(15(2*pi*r*h*.5))=T

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Solution for (30(h*(2*r)))+(20(pi*(r^2)))+(15(2*pi*r*h*.5))=T equation:


Simplifying
(30(h(2r))) + (20(pi(r2))) + (15(2pi * r * h * 0.5)) = T

Remove parenthesis around (2r)
(30(h * 2r)) + (20(pi(r2))) + (15(2pi * r * h * 0.5)) = T

Reorder the terms for easier multiplication:
(30(2h * r)) + (20(pi(r2))) + (15(2pi * r * h * 0.5)) = T

Multiply h * r
(30(2hr)) + (20(pi(r2))) + (15(2pi * r * h * 0.5)) = T

Remove parenthesis around (2hr)
(30 * 2hr) + (20(pi(r2))) + (15(2pi * r * h * 0.5)) = T

Multiply 30 * 2
(60hr) + (20(pi(r2))) + (15(2pi * r * h * 0.5)) = T

Multiply ip * r2
(60hr) + (20(ipr2)) + (15(2pi * r * h * 0.5)) = T

Reorder the terms for easier multiplication:
(60hr) + (20ipr2) + (15(2 * 0.5ip * r * h)) = T

Multiply 2 * 0.5
(60hr) + (20ipr2) + (15(1ip * r * h)) = T

Multiply ip * r
(60hr) + (20ipr2) + (15(1ipr * h)) = T

Multiply ipr * h
(60hr) + (20ipr2) + (15(1hipr)) = T

Remove parenthesis around (1hipr)
(60hr) + (20ipr2) + (15 * 1hipr) = T

Multiply 15 * 1
(60hr) + (20ipr2) + (15hipr) = T

Reorder the terms:
(15hipr) + (60hr) + (20ipr2) = T

Solving
(15hipr) + (60hr) + (20ipr2) = T

Solving for variable 'h'.

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

Add '(-20ipr2)' to each side of the equation.
(15hipr) + (60hr) + (20ipr2) + (-20ipr2) = T + (-20ipr2)

Combine like terms: (20ipr2) + (-20ipr2) = 0
(15hipr) + (60hr) + 0 = T + (-20ipr2)
(15hipr) + (60hr) = T + (-20ipr2)

Reorder the terms:
-1T + (15hipr) + (60hr) + (20ipr2) = T + (-20ipr2) + -1T + (20ipr2)

Reorder the terms:
-1T + (15hipr) + (60hr) + (20ipr2) = T + -1T + (-20ipr2) + (20ipr2)

Combine like terms: T + -1T = 0
-1T + (15hipr) + (60hr) + (20ipr2) = 0 + (-20ipr2) + (20ipr2)
-1T + (15hipr) + (60hr) + (20ipr2) = (-20ipr2) + (20ipr2)

Combine like terms: (-20ipr2) + (20ipr2) = 0
-1T + (15hipr) + (60hr) + (20ipr2) = 0

The solution to this equation could not be determined.

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