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Simplifying 8 + -1(3xb) = 5(b + 8) Remove parenthesis around (3bx) 8 + -1 * 3bx = 5(b + 8) Multiply -1 * 3 8 + -3bx = 5(b + 8) Reorder the terms: 8 + -3bx = 5(8 + b) 8 + -3bx = (8 * 5 + b * 5) 8 + -3bx = (40 + 5b) Solving 8 + -3bx = 40 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 8 + -5b + -3bx = 40 + 5b + -5b Combine like terms: 5b + -5b = 0 8 + -5b + -3bx = 40 + 0 8 + -5b + -3bx = 40 Add '-8' to each side of the equation. 8 + -5b + -8 + -3bx = 40 + -8 Reorder the terms: 8 + -8 + -5b + -3bx = 40 + -8 Combine like terms: 8 + -8 = 0 0 + -5b + -3bx = 40 + -8 -5b + -3bx = 40 + -8 Combine like terms: 40 + -8 = 32 -5b + -3bx = 32 Reorder the terms: -32 + -5b + -3bx = 32 + -32 Combine like terms: 32 + -32 = 0 -32 + -5b + -3bx = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(32 + 5b + 3bx) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(32 + 5b + 3bx)' equal to zero and attempt to solve: Simplifying 32 + 5b + 3bx = 0 Solving 32 + 5b + 3bx = 0 Move all terms containing b to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + 5b + -32 + 3bx = 0 + -32 Reorder the terms: 32 + -32 + 5b + 3bx = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 5b + 3bx = 0 + -32 5b + 3bx = 0 + -32 Combine like terms: 0 + -32 = -32 5b + 3bx = -32 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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