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Simplifying 2a2 + -5[5b + -5b(b + 4)] = 0 Reorder the terms: 2a2 + -5[5b + -5b(4 + b)] = 0 2a2 + -5[5b + (4 * -5b + b * -5b)] = 0 2a2 + -5[5b + (-20b + -5b2)] = 0 Combine like terms: 5b + -20b = -15b 2a2 + -5[-15b + -5b2] = 0 2a2 + [-15b * -5 + -5b2 * -5] = 0 2a2 + [75b + 25b2] = 0 Solving 2a2 + 75b + 25b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-75b' to each side of the equation. 2a2 + 75b + -75b + 25b2 = 0 + -75b Combine like terms: 75b + -75b = 0 2a2 + 0 + 25b2 = 0 + -75b 2a2 + 25b2 = 0 + -75b Remove the zero: 2a2 + 25b2 = -75b Add '-25b2' to each side of the equation. 2a2 + 25b2 + -25b2 = -75b + -25b2 Combine like terms: 25b2 + -25b2 = 0 2a2 + 0 = -75b + -25b2 2a2 = -75b + -25b2 Divide each side by '2'. a2 = -37.5b + -12.5b2 Simplifying a2 = -37.5b + -12.5b2 Reorder the terms: a2 + 37.5b + 12.5b2 = -37.5b + 37.5b + -12.5b2 + 12.5b2 Combine like terms: -37.5b + 37.5b = 0.0 a2 + 37.5b + 12.5b2 = 0.0 + -12.5b2 + 12.5b2 a2 + 37.5b + 12.5b2 = -12.5b2 + 12.5b2 Combine like terms: -12.5b2 + 12.5b2 = 0.0 a2 + 37.5b + 12.5b2 = 0.0 The solution to this equation could not be determined.
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