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Simplifying 2 + -3(x + 4) * b = 8 Reorder the terms: 2 + -3(4 + x) * b = 8 Reorder the terms for easier multiplication: 2 + -3b(4 + x) = 8 2 + (4 * -3b + x * -3b) = 8 2 + (-12b + -3bx) = 8 Solving 2 + -12b + -3bx = 8 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -12b + -2 + -3bx = 8 + -2 Reorder the terms: 2 + -2 + -12b + -3bx = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -12b + -3bx = 8 + -2 -12b + -3bx = 8 + -2 Combine like terms: 8 + -2 = 6 -12b + -3bx = 6 Reorder the terms: -6 + -12b + -3bx = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + -12b + -3bx = 0 Factor out the Greatest Common Factor (GCF), '-3'. -3(2 + 4b + bx) = 0 Ignore the factor -3.Subproblem 1
Set the factor '(2 + 4b + bx)' equal to zero and attempt to solve: Simplifying 2 + 4b + bx = 0 Solving 2 + 4b + bx = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 4b + -2 + bx = 0 + -2 Reorder the terms: 2 + -2 + 4b + bx = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 4b + bx = 0 + -2 4b + bx = 0 + -2 Combine like terms: 0 + -2 = -2 4b + bx = -2 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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