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Simplifying (25 + -1a2)(2b2 + 6b) = 0 Reorder the terms: (25 + -1a2)(6b + 2b2) = 0 Multiply (25 + -1a2) * (6b + 2b2) (25(6b + 2b2) + -1a2 * (6b + 2b2)) = 0 ((6b * 25 + 2b2 * 25) + -1a2 * (6b + 2b2)) = 0 ((150b + 50b2) + -1a2 * (6b + 2b2)) = 0 (150b + 50b2 + (6b * -1a2 + 2b2 * -1a2)) = 0 (150b + 50b2 + (-6a2b + -2a2b2)) = 0 Reorder the terms: (-6a2b + -2a2b2 + 150b + 50b2) = 0 (-6a2b + -2a2b2 + 150b + 50b2) = 0 Solving -6a2b + -2a2b2 + 150b + 50b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-150b' to each side of the equation. -6a2b + -2a2b2 + 150b + -150b + 50b2 = 0 + -150b Combine like terms: 150b + -150b = 0 -6a2b + -2a2b2 + 0 + 50b2 = 0 + -150b -6a2b + -2a2b2 + 50b2 = 0 + -150b Remove the zero: -6a2b + -2a2b2 + 50b2 = -150b Add '-50b2' to each side of the equation. -6a2b + -2a2b2 + 50b2 + -50b2 = -150b + -50b2 Combine like terms: 50b2 + -50b2 = 0 -6a2b + -2a2b2 + 0 = -150b + -50b2 -6a2b + -2a2b2 = -150b + -50b2 Reorder the terms: -6a2b + -2a2b2 + 150b + 50b2 = -150b + 150b + -50b2 + 50b2 Combine like terms: -150b + 150b = 0 -6a2b + -2a2b2 + 150b + 50b2 = 0 + -50b2 + 50b2 -6a2b + -2a2b2 + 150b + 50b2 = -50b2 + 50b2 Combine like terms: -50b2 + 50b2 = 0 -6a2b + -2a2b2 + 150b + 50b2 = 0 Factor out the Greatest Common Factor (GCF), '2b'. 2b(-3a2 + -1a2b + 75 + 25b) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. b + -1b = 0 + -1b Remove the zero: 0 = -1b Simplifying 0 = -1b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-3a2 + -1a2b + 75 + 25b)' equal to zero and attempt to solve: Simplifying -3a2 + -1a2b + 75 + 25b = 0 Reorder the terms: 75 + -3a2 + -1a2b + 25b = 0 Solving 75 + -3a2 + -1a2b + 25b = 0 Move all terms containing a to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -3a2 + -1a2b + -75 + 25b = 0 + -75 Reorder the terms: 75 + -75 + -3a2 + -1a2b + 25b = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -3a2 + -1a2b + 25b = 0 + -75 -3a2 + -1a2b + 25b = 0 + -75 Combine like terms: 0 + -75 = -75 -3a2 + -1a2b + 25b = -75 Add '-25b' to each side of the equation. -3a2 + -1a2b + 25b + -25b = -75 + -25b Combine like terms: 25b + -25b = 0 -3a2 + -1a2b + 0 = -75 + -25b -3a2 + -1a2b = -75 + -25b 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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