10(2lw)+6(2hw)+(2lh)=0

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Solution for 10(2lw)+6(2hw)+(2lh)=0 equation:


Simplifying
10(2lw) + 6(2hw) + (2lh) = 0

Remove parenthesis around (2lw)
10 * 2lw + 6(2hw) + (2lh) = 0

Multiply 10 * 2
20lw + 6(2hw) + (2lh) = 0

Remove parenthesis around (2hw)
20lw + 6 * 2hw + (2lh) = 0

Multiply 6 * 2
20lw + 12hw + (2lh) = 0

Reorder the terms:
(2hl) + 12hw + 20lw = 0

Solving
(2hl) + 12hw + 20lw = 0

Solving for variable 'h'.

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

Add '-20lw' to each side of the equation.
(2hl) + 12hw + 20lw + -20lw = 0 + -20lw

Combine like terms: 20lw + -20lw = 0
(2hl) + 12hw + 0 = 0 + -20lw
(2hl) + 12hw = 0 + -20lw
Remove the zero:
(2hl) + 12hw = -20lw

Combine like terms: -20lw + 20lw = 0
(2hl) + 12hw + 20lw = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(hl + 6hw + 10lw) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(hl + 6hw + 10lw)' equal to zero and attempt to solve: Simplifying hl + 6hw + 10lw = 0 Solving hl + 6hw + 10lw = 0 Move all terms containing h to the left, all other terms to the right. Add '-10lw' to each side of the equation. hl + 6hw + 10lw + -10lw = 0 + -10lw Combine like terms: 10lw + -10lw = 0 hl + 6hw + 0 = 0 + -10lw hl + 6hw = 0 + -10lw Remove the zero: hl + 6hw = -10lw 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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