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Simplifying 5b(3x + 2b + 7) = 0 Reorder the terms: 5b(7 + 2b + 3x) = 0 (7 * 5b + 2b * 5b + 3x * 5b) = 0 Reorder the terms: (35b + 15bx + 10b2) = 0 (35b + 15bx + 10b2) = 0 Solving 35b + 15bx + 10b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '5b'. 5b(7 + 3x + 2b) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0Subproblem 2
Set the factor '(7 + 3x + 2b)' equal to zero and attempt to solve: Simplifying 7 + 3x + 2b = 0 Reorder the terms: 7 + 2b + 3x = 0 Solving 7 + 2b + 3x = 0 Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 2b + -7 + 3x = 0 + -7 Reorder the terms: 7 + -7 + 2b + 3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2b + 3x = 0 + -7 2b + 3x = 0 + -7 Combine like terms: 0 + -7 = -7 2b + 3x = -7 Add '-3x' to each side of the equation. 2b + 3x + -3x = -7 + -3x Combine like terms: 3x + -3x = 0 2b + 0 = -7 + -3x 2b = -7 + -3x Divide each side by '2'. b = -3.5 + -1.5x Simplifying b = -3.5 + -1.5xSolution
b = {0, -3.5 + -1.5x}
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