1000in^3=lw(36in^2)

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Solution for 1000in^3=lw(36in^2) equation:


Simplifying
1000in3 = lw(36in2)

Remove parenthesis around (36in2)
1000in3 = lw * 36in2

Reorder the terms for easier multiplication:
1000in3 = 36lw * in2

Multiply lw * in2
1000in3 = 36iln2w

Solving
1000in3 = 36iln2w

Solving for variable 'i'.

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

Add '-36iln2w' to each side of the equation.
-36iln2w + 1000in3 = 36iln2w + -36iln2w

Combine like terms: 36iln2w + -36iln2w = 0
-36iln2w + 1000in3 = 0

Factor out the Greatest Common Factor (GCF), '4in2'.
4in2(-9lw + 250n) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'in2' equal to zero and attempt to solve: Simplifying in2 = 0 Solving in2 = 0 Move all terms containing i to the left, all other terms to the right. Simplifying in2 = 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 '(-9lw + 250n)' equal to zero and attempt to solve: Simplifying -9lw + 250n = 0 Solving -9lw + 250n = 0 Move all terms containing i to the left, all other terms to the right. Add '9lw' to each side of the equation. -9lw + 9lw + 250n = 0 + 9lw Combine like terms: -9lw + 9lw = 0 0 + 250n = 0 + 9lw 250n = 0 + 9lw Remove the zero: 250n = 9lw Add '-250n' to each side of the equation. 250n + -250n = 9lw + -250n Combine like terms: 250n + -250n = 0 0 = 9lw + -250n Simplifying 0 = 9lw + -250n 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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