h=h(x+b)

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Solution for h=h(x+b) equation:


Simplifying
h = h(x + b)

Reorder the terms:
h = h(b + x)
h = (b * h + x * h)
h = (bh + hx)

Solving
h = bh + hx

Solving for variable 'h'.

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

Add '-1bh' to each side of the equation.
-1bh + h = bh + -1bh + hx

Combine like terms: bh + -1bh = 0
-1bh + h = 0 + hx
-1bh + h = hx

Add '-1hx' to each side of the equation.
-1bh + h + -1hx = hx + -1hx

Combine like terms: hx + -1hx = 0
-1bh + h + -1hx = 0

Factor out the Greatest Common Factor (GCF), 'h'.
h(-1b + 1 + -1x) = 0

Subproblem 1

Set the factor 'h' equal to zero and attempt to solve: Simplifying h = 0 Solving h = 0 Move all terms containing h to the left, all other terms to the right. Simplifying h = 0

Subproblem 2

Set the factor '(-1b + 1 + -1x)' equal to zero and attempt to solve: Simplifying -1b + 1 + -1x = 0 Reorder the terms: 1 + -1b + -1x = 0 Solving 1 + -1b + -1x = 0 Move all terms containing h to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1b + -1 + -1x = 0 + -1 Reorder the terms: 1 + -1 + -1b + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1b + -1x = 0 + -1 -1b + -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1b + -1x = -1 Add 'b' to each side of the equation. -1b + b + -1x = -1 + b Combine like terms: -1b + b = 0 0 + -1x = -1 + b -1x = -1 + b Add 'x' to each side of the equation. -1x + x = -1 + b + x Combine like terms: -1x + x = 0 0 = -1 + b + x Simplifying 0 = -1 + b + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

h = {0}

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