8h^2k-32=0

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Solution for 8h^2k-32=0 equation:


Simplifying
8h2k + -32 = 0

Reorder the terms:
-32 + 8h2k = 0

Solving
-32 + 8h2k = 0

Solving for variable 'h'.

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

Add '32' to each side of the equation.
-32 + 32 + 8h2k = 0 + 32

Combine like terms: -32 + 32 = 0
0 + 8h2k = 0 + 32
8h2k = 0 + 32

Combine like terms: 0 + 32 = 32
8h2k = 32

Divide each side by '8k'.
h2 = 4k-1

Simplifying
h2 = 4k-1

Combine like terms: 4k-1 + -4k-1 = 0
h2 + -4k-1 = 0

Factor out the Greatest Common Factor (GCF), 'k-1'.
k-1(h2k + -4) = 0

Subproblem 1

Set the factor 'k-1' equal to zero and attempt to solve: Simplifying k-1 = 0 Solving k-1 = 0 Move all terms containing h to the left, all other terms to the right. Add '-1k-1' to each side of the equation. k-1 + -1k-1 = 0 + -1k-1 Remove the zero: 0 = -1k-1 Simplifying 0 = -1k-1 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 '(h2k + -4)' equal to zero and attempt to solve: Simplifying h2k + -4 = 0 Reorder the terms: -4 + h2k = 0 Solving -4 + h2k = 0 Move all terms containing h to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + h2k = 0 + 4 Combine like terms: -4 + 4 = 0 0 + h2k = 0 + 4 h2k = 0 + 4 Combine like terms: 0 + 4 = 4 h2k = 4 Divide each side by 'k'. h2 = 4k-1 Simplifying h2 = 4k-1 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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