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Simplifying A = 4h(b + a) * forA Reorder the terms: A = 4h(a + b) * forA Reorder the terms for easier multiplication: A = 4h * forA(a + b) Multiply h * forA A = 4fhorA(a + b) A = (a * 4fhorA + b * 4fhorA) A = (4afhorA + 4bfhorA) Solving A = 4afhorA + 4bfhorA Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-4afhorA' to each side of the equation. A + -4afhorA = 4afhorA + -4afhorA + 4bfhorA Combine like terms: 4afhorA + -4afhorA = 0 A + -4afhorA = 0 + 4bfhorA A + -4afhorA = 4bfhorA Add '-4bfhorA' to each side of the equation. A + -4afhorA + -4bfhorA = 4bfhorA + -4bfhorA Combine like terms: 4bfhorA + -4bfhorA = 0 A + -4afhorA + -4bfhorA = 0 Factor out the Greatest Common Factor (GCF), 'A'. A(1 + -4afhor + -4bfhor) = 0Subproblem 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 = 0Subproblem 2
Set the factor '(1 + -4afhor + -4bfhor)' equal to zero and attempt to solve: Simplifying 1 + -4afhor + -4bfhor = 0 Solving 1 + -4afhor + -4bfhor = 0 Move all terms containing A to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -4afhor + -1 + -4bfhor = 0 + -1 Reorder the terms: 1 + -1 + -4afhor + -4bfhor = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4afhor + -4bfhor = 0 + -1 -4afhor + -4bfhor = 0 + -1 Combine like terms: 0 + -1 = -1 -4afhor + -4bfhor = -1 Add '4afhor' to each side of the equation. -4afhor + 4afhor + -4bfhor = -1 + 4afhor Combine like terms: -4afhor + 4afhor = 0 0 + -4bfhor = -1 + 4afhor -4bfhor = -1 + 4afhor Add '4bfhor' to each side of the equation. -4bfhor + 4bfhor = -1 + 4afhor + 4bfhor Combine like terms: -4bfhor + 4bfhor = 0 0 = -1 + 4afhor + 4bfhor Simplifying 0 = -1 + 4afhor + 4bfhor 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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