148=2(6w+6h+6hw)

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Solution for 148=2(6w+6h+6hw) equation:


Simplifying
148 = 2(6w + 6h + 6hw)

Reorder the terms:
148 = 2(6h + 6hw + 6w)
148 = (6h * 2 + 6hw * 2 + 6w * 2)
148 = (12h + 12hw + 12w)

Solving
148 = 12h + 12hw + 12w

Solving for variable 'h'.

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

Add '-12h' to each side of the equation.
148 + -12h = 12h + 12hw + -12h + 12w

Reorder the terms:
148 + -12h = 12h + -12h + 12hw + 12w

Combine like terms: 12h + -12h = 0
148 + -12h = 0 + 12hw + 12w
148 + -12h = 12hw + 12w

Add '-12hw' to each side of the equation.
148 + -12h + -12hw = 12hw + -12hw + 12w

Combine like terms: 12hw + -12hw = 0
148 + -12h + -12hw = 0 + 12w
148 + -12h + -12hw = 12w

Add '-148' to each side of the equation.
148 + -12h + -148 + -12hw = -148 + 12w

Reorder the terms:
148 + -148 + -12h + -12hw = -148 + 12w

Combine like terms: 148 + -148 = 0
0 + -12h + -12hw = -148 + 12w
-12h + -12hw = -148 + 12w

Reorder the terms:
148 + -12h + -12hw + -12w = -148 + 12w + 148 + -12w

Reorder the terms:
148 + -12h + -12hw + -12w = -148 + 148 + 12w + -12w

Combine like terms: -148 + 148 = 0
148 + -12h + -12hw + -12w = 0 + 12w + -12w
148 + -12h + -12hw + -12w = 12w + -12w

Combine like terms: 12w + -12w = 0
148 + -12h + -12hw + -12w = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(37 + -3h + -3hw + -3w) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(37 + -3h + -3hw + -3w)' equal to zero and attempt to solve: Simplifying 37 + -3h + -3hw + -3w = 0 Solving 37 + -3h + -3hw + -3w = 0 Move all terms containing h to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -3h + -3hw + -37 + -3w = 0 + -37 Reorder the terms: 37 + -37 + -3h + -3hw + -3w = 0 + -37 Combine like terms: 37 + -37 = 0 0 + -3h + -3hw + -3w = 0 + -37 -3h + -3hw + -3w = 0 + -37 Combine like terms: 0 + -37 = -37 -3h + -3hw + -3w = -37 Add '3w' to each side of the equation. -3h + -3hw + -3w + 3w = -37 + 3w Combine like terms: -3w + 3w = 0 -3h + -3hw + 0 = -37 + 3w -3h + -3hw = -37 + 3w 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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