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Simplifying 3x2 + 3bx + 3x + 3b = 0 Reorder the terms: 3b + 3bx + 3x + 3x2 = 0 Solving 3b + 3bx + 3x + 3x2 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3x' to each side of the equation. 3b + 3bx + 3x + -3x + 3x2 = 0 + -3x Combine like terms: 3x + -3x = 0 3b + 3bx + 0 + 3x2 = 0 + -3x 3b + 3bx + 3x2 = 0 + -3x Remove the zero: 3b + 3bx + 3x2 = -3x Add '-3x2' to each side of the equation. 3b + 3bx + 3x2 + -3x2 = -3x + -3x2 Combine like terms: 3x2 + -3x2 = 0 3b + 3bx + 0 = -3x + -3x2 3b + 3bx = -3x + -3x2 Reorder the terms: 3b + 3bx + 3x + 3x2 = -3x + 3x + -3x2 + 3x2 Combine like terms: -3x + 3x = 0 3b + 3bx + 3x + 3x2 = 0 + -3x2 + 3x2 3b + 3bx + 3x + 3x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 3b + 3bx + 3x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(b + bx + x + x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(b + bx + x + x2)' equal to zero and attempt to solve: Simplifying b + bx + x + x2 = 0 Solving b + bx + x + x2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-1x' to each side of the equation. b + bx + x + -1x + x2 = 0 + -1x Combine like terms: x + -1x = 0 b + bx + 0 + x2 = 0 + -1x b + bx + x2 = 0 + -1x Remove the zero: b + bx + x2 = -1x Add '-1x2' to each side of the equation. b + bx + x2 + -1x2 = -1x + -1x2 Combine like terms: x2 + -1x2 = 0 b + bx + 0 = -1x + -1x2 b + bx = -1x + -1x2 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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