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Simplifying 0 = b(x + 4) + 7(x + 4) Reorder the terms: 0 = b(4 + x) + 7(x + 4) 0 = (4 * b + x * b) + 7(x + 4) 0 = (4b + bx) + 7(x + 4) Reorder the terms: 0 = 4b + bx + 7(4 + x) 0 = 4b + bx + (4 * 7 + x * 7) 0 = 4b + bx + (28 + 7x) Reorder the terms: 0 = 28 + 4b + bx + 7x Solving 0 = 28 + 4b + bx + 7x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 0 + -4b = 28 + 4b + bx + -4b + 7x Remove the zero: -4b = 28 + 4b + bx + -4b + 7x Reorder the terms: -4b = 28 + 4b + -4b + bx + 7x Combine like terms: 4b + -4b = 0 -4b = 28 + 0 + bx + 7x -4b = 28 + bx + 7x Add '-1bx' to each side of the equation. -4b + -1bx = 28 + bx + -1bx + 7x Combine like terms: bx + -1bx = 0 -4b + -1bx = 28 + 0 + 7x -4b + -1bx = 28 + 7x Reorder the terms: -28 + -4b + -1bx + -7x = 28 + 7x + -28 + -7x Reorder the terms: -28 + -4b + -1bx + -7x = 28 + -28 + 7x + -7x Combine like terms: 28 + -28 = 0 -28 + -4b + -1bx + -7x = 0 + 7x + -7x -28 + -4b + -1bx + -7x = 7x + -7x Combine like terms: 7x + -7x = 0 -28 + -4b + -1bx + -7x = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(28 + 4b + bx + 7x) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(28 + 4b + bx + 7x)' equal to zero and attempt to solve: Simplifying 28 + 4b + bx + 7x = 0 Solving 28 + 4b + bx + 7x = 0 Move all terms containing b to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + 4b + bx + -28 + 7x = 0 + -28 Reorder the terms: 28 + -28 + 4b + bx + 7x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 4b + bx + 7x = 0 + -28 4b + bx + 7x = 0 + -28 Combine like terms: 0 + -28 = -28 4b + bx + 7x = -28 Add '-7x' to each side of the equation. 4b + bx + 7x + -7x = -28 + -7x Combine like terms: 7x + -7x = 0 4b + bx + 0 = -28 + -7x 4b + bx = -28 + -7x 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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