4pir^2=2pir^2+2pirh

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Solution for 4pir^2=2pir^2+2pirh equation:


Simplifying
4pir2 = 2pir2 + 2pirh

Reorder the terms:
4ipr2 = 2hipr + 2ipr2

Solving
4ipr2 = 2hipr + 2ipr2

Solving for variable 'i'.

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

Add '-2hipr' to each side of the equation.
-2hipr + 4ipr2 = 2hipr + -2hipr + 2ipr2

Combine like terms: 2hipr + -2hipr = 0
-2hipr + 4ipr2 = 0 + 2ipr2
-2hipr + 4ipr2 = 2ipr2

Add '-2ipr2' to each side of the equation.
-2hipr + 4ipr2 + -2ipr2 = 2ipr2 + -2ipr2

Combine like terms: 4ipr2 + -2ipr2 = 2ipr2
-2hipr + 2ipr2 = 2ipr2 + -2ipr2

Combine like terms: 2ipr2 + -2ipr2 = 0
-2hipr + 2ipr2 = 0

Factor out the Greatest Common Factor (GCF), '2ipr'.
2ipr(-1h + r) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'ipr' equal to zero and attempt to solve: Simplifying ipr = 0 Solving ipr = 0 Move all terms containing i to the left, all other terms to the right. Simplifying ipr = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-1h + r)' equal to zero and attempt to solve: Simplifying -1h + r = 0 Solving -1h + r = 0 Move all terms containing i to the left, all other terms to the right. Add 'h' to each side of the equation. -1h + h + r = 0 + h Combine like terms: -1h + h = 0 0 + r = 0 + h r = 0 + h Remove the zero: r = h Add '-1r' to each side of the equation. r + -1r = h + -1r Combine like terms: r + -1r = 0 0 = h + -1r Simplifying 0 = h + -1r The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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