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Simplifying 50b2 + 150b + -2a2b2 + -6a2b2 = 0 Reorder the terms: -2a2b2 + -6a2b2 + 150b + 50b2 = 0 Combine like terms: -2a2b2 + -6a2b2 = -8a2b2 -8a2b2 + 150b + 50b2 = 0 Solving -8a2b2 + 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. -8a2b2 + 150b + -150b + 50b2 = 0 + -150b Combine like terms: 150b + -150b = 0 -8a2b2 + 0 + 50b2 = 0 + -150b -8a2b2 + 50b2 = 0 + -150b Remove the zero: -8a2b2 + 50b2 = -150b Add '-50b2' to each side of the equation. -8a2b2 + 50b2 + -50b2 = -150b + -50b2 Combine like terms: 50b2 + -50b2 = 0 -8a2b2 + 0 = -150b + -50b2 -8a2b2 = -150b + -50b2 Divide each side by '-8b2'. a2 = 18.75b-1 + 6.25 Simplifying a2 = 18.75b-1 + 6.25 Reorder the terms: a2 = 6.25 + 18.75b-1 Reorder the terms: -6.25 + a2 + -18.75b-1 = 6.25 + 18.75b-1 + -6.25 + -18.75b-1 Reorder the terms: -6.25 + a2 + -18.75b-1 = 6.25 + -6.25 + 18.75b-1 + -18.75b-1 Combine like terms: 6.25 + -6.25 = 0.00 -6.25 + a2 + -18.75b-1 = 0.00 + 18.75b-1 + -18.75b-1 -6.25 + a2 + -18.75b-1 = 18.75b-1 + -18.75b-1 Combine like terms: 18.75b-1 + -18.75b-1 = 0.00 -6.25 + a2 + -18.75b-1 = 0.00 The solution to this equation could not be determined.
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