a=h(b+c)solve(b)equation

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Solution for a=h(b+c)solve(b)equation equation:


Simplifying
a = h(b + c) * solve(b) * equation

Reorder the terms for easier multiplication:
a = h * elosv * b * aeinoqtu(b + c)

Multiply h * elosv
a = ehlosv * b * aeinoqtu(b + c)

Multiply ehlosv * b
a = behlosv * aeinoqtu(b + c)

Multiply behlosv * aeinoqtu
a = abe2hilno2qstuv(b + c)
a = (b * abe2hilno2qstuv + c * abe2hilno2qstuv)

Reorder the terms:
a = (abce2hilno2qstuv + ab2e2hilno2qstuv)
a = (abce2hilno2qstuv + ab2e2hilno2qstuv)

Solving
a = abce2hilno2qstuv + ab2e2hilno2qstuv

Solving for variable 'a'.

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

Add '-1abce2hilno2qstuv' to each side of the equation.
a + -1abce2hilno2qstuv = abce2hilno2qstuv + -1abce2hilno2qstuv + ab2e2hilno2qstuv

Combine like terms: abce2hilno2qstuv + -1abce2hilno2qstuv = 0
a + -1abce2hilno2qstuv = 0 + ab2e2hilno2qstuv
a + -1abce2hilno2qstuv = ab2e2hilno2qstuv

Add '-1ab2e2hilno2qstuv' to each side of the equation.
a + -1abce2hilno2qstuv + -1ab2e2hilno2qstuv = ab2e2hilno2qstuv + -1ab2e2hilno2qstuv

Combine like terms: ab2e2hilno2qstuv + -1ab2e2hilno2qstuv = 0
a + -1abce2hilno2qstuv + -1ab2e2hilno2qstuv = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(1 + -1bce2hilno2qstuv + -1b2e2hilno2qstuv) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(1 + -1bce2hilno2qstuv + -1b2e2hilno2qstuv)' equal to zero and attempt to solve: Simplifying 1 + -1bce2hilno2qstuv + -1b2e2hilno2qstuv = 0 Solving 1 + -1bce2hilno2qstuv + -1b2e2hilno2qstuv = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1bce2hilno2qstuv + -1 + -1b2e2hilno2qstuv = 0 + -1 Reorder the terms: 1 + -1 + -1bce2hilno2qstuv + -1b2e2hilno2qstuv = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1bce2hilno2qstuv + -1b2e2hilno2qstuv = 0 + -1 -1bce2hilno2qstuv + -1b2e2hilno2qstuv = 0 + -1 Combine like terms: 0 + -1 = -1 -1bce2hilno2qstuv + -1b2e2hilno2qstuv = -1 Add 'bce2hilno2qstuv' to each side of the equation. -1bce2hilno2qstuv + bce2hilno2qstuv + -1b2e2hilno2qstuv = -1 + bce2hilno2qstuv Combine like terms: -1bce2hilno2qstuv + bce2hilno2qstuv = 0 0 + -1b2e2hilno2qstuv = -1 + bce2hilno2qstuv -1b2e2hilno2qstuv = -1 + bce2hilno2qstuv Add 'b2e2hilno2qstuv' to each side of the equation. -1b2e2hilno2qstuv + b2e2hilno2qstuv = -1 + bce2hilno2qstuv + b2e2hilno2qstuv Combine like terms: -1b2e2hilno2qstuv + b2e2hilno2qstuv = 0 0 = -1 + bce2hilno2qstuv + b2e2hilno2qstuv Simplifying 0 = -1 + bce2hilno2qstuv + b2e2hilno2qstuv The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

a = {0}

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