160cm^3=2cm*8cm*H

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Solution for 160cm^3=2cm*8cm*H equation:


Simplifying
160cm3 = 2cm * 8cm * H

Reorder the terms for easier multiplication:
160cm3 = 2 * 8cm * cm * H

Multiply 2 * 8
160cm3 = 16cm * cm * H

Multiply cm * cm
160cm3 = 16c2m2 * H

Multiply c2m2 * H
160cm3 = 16c2m2H

Solving
160cm3 = 16c2m2H

Solving for variable 'c'.

Combine like terms: 16c2m2H + -16c2m2H = 0
160cm3 + -16c2m2H = 0

Factor out the Greatest Common Factor (GCF), '16cm2'.
16cm2(10m + -1cH) = 0

Ignore the factor 16.

Subproblem 1

Set the factor 'cm2' equal to zero and attempt to solve: Simplifying cm2 = 0 Solving cm2 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cm2 = 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 '(10m + -1cH)' equal to zero and attempt to solve: Simplifying 10m + -1cH = 0 Reorder the terms: -1cH + 10m = 0 Solving -1cH + 10m = 0 Move all terms containing c to the left, all other terms to the right. Add '-10m' to each side of the equation. -1cH + 10m + -10m = 0 + -10m Combine like terms: 10m + -10m = 0 -1cH + 0 = 0 + -10m -1cH = 0 + -10m Remove the zero: -1cH = -10m Divide each side by '-1H'. c = 10mH-1 Simplifying c = 10mH-1

Solution

c = {10mH-1}

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