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Simplifying 8a2 + -5[5b + -5b(b + 3)] = 0 Reorder the terms: 8a2 + -5[5b + -5b(3 + b)] = 0 8a2 + -5[5b + (3 * -5b + b * -5b)] = 0 8a2 + -5[5b + (-15b + -5b2)] = 0 Combine like terms: 5b + -15b = -10b 8a2 + -5[-10b + -5b2] = 0 8a2 + [-10b * -5 + -5b2 * -5] = 0 8a2 + [50b + 25b2] = 0 Solving 8a2 + 50b + 25b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-50b' to each side of the equation. 8a2 + 50b + -50b + 25b2 = 0 + -50b Combine like terms: 50b + -50b = 0 8a2 + 0 + 25b2 = 0 + -50b 8a2 + 25b2 = 0 + -50b Remove the zero: 8a2 + 25b2 = -50b Add '-25b2' to each side of the equation. 8a2 + 25b2 + -25b2 = -50b + -25b2 Combine like terms: 25b2 + -25b2 = 0 8a2 + 0 = -50b + -25b2 8a2 = -50b + -25b2 Divide each side by '8'. a2 = -6.25b + -3.125b2 Simplifying a2 = -6.25b + -3.125b2 Reorder the terms: a2 + 6.25b + 3.125b2 = -6.25b + 6.25b + -3.125b2 + 3.125b2 Combine like terms: -6.25b + 6.25b = 0.00 a2 + 6.25b + 3.125b2 = 0.00 + -3.125b2 + 3.125b2 a2 + 6.25b + 3.125b2 = -3.125b2 + 3.125b2 Combine like terms: -3.125b2 + 3.125b2 = 0.000 a2 + 6.25b + 3.125b2 = 0.000 The solution to this equation could not be determined.
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