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Simplifying 2b2 + -3b + 4a2 = 0 Reorder the terms: 4a2 + -3b + 2b2 = 0 Solving 4a2 + -3b + 2b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. 4a2 + -3b + 3b + 2b2 = 0 + 3b Combine like terms: -3b + 3b = 0 4a2 + 0 + 2b2 = 0 + 3b 4a2 + 2b2 = 0 + 3b Remove the zero: 4a2 + 2b2 = 3b Add '-2b2' to each side of the equation. 4a2 + 2b2 + -2b2 = 3b + -2b2 Combine like terms: 2b2 + -2b2 = 0 4a2 + 0 = 3b + -2b2 4a2 = 3b + -2b2 Divide each side by '4'. a2 = 0.75b + -0.5b2 Simplifying a2 = 0.75b + -0.5b2 Reorder the terms: a2 + -0.75b + 0.5b2 = 0.75b + -0.75b + -0.5b2 + 0.5b2 Combine like terms: 0.75b + -0.75b = 0.00 a2 + -0.75b + 0.5b2 = 0.00 + -0.5b2 + 0.5b2 a2 + -0.75b + 0.5b2 = -0.5b2 + 0.5b2 Combine like terms: -0.5b2 + 0.5b2 = 0.0 a2 + -0.75b + 0.5b2 = 0.0 The solution to this equation could not be determined.
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