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Simplifying 12a3 + -6x2 + 9x + -18 = 0 Reorder the terms: -18 + 12a3 + 9x + -6x2 = 0 Solving -18 + 12a3 + 9x + -6x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 12a3 + 9x + 18 + -6x2 = 0 + 18 Reorder the terms: -18 + 18 + 12a3 + 9x + -6x2 = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 12a3 + 9x + -6x2 = 0 + 18 12a3 + 9x + -6x2 = 0 + 18 Combine like terms: 0 + 18 = 18 12a3 + 9x + -6x2 = 18 Add '-9x' to each side of the equation. 12a3 + 9x + -9x + -6x2 = 18 + -9x Combine like terms: 9x + -9x = 0 12a3 + 0 + -6x2 = 18 + -9x 12a3 + -6x2 = 18 + -9x Add '6x2' to each side of the equation. 12a3 + -6x2 + 6x2 = 18 + -9x + 6x2 Combine like terms: -6x2 + 6x2 = 0 12a3 + 0 = 18 + -9x + 6x2 12a3 = 18 + -9x + 6x2 Divide each side by '12'. a3 = 1.5 + -0.75x + 0.5x2 Simplifying a3 = 1.5 + -0.75x + 0.5x2 Reorder the terms: -1.5 + a3 + 0.75x + -0.5x2 = 1.5 + -0.75x + 0.5x2 + -1.5 + 0.75x + -0.5x2 Reorder the terms: -1.5 + a3 + 0.75x + -0.5x2 = 1.5 + -1.5 + -0.75x + 0.75x + 0.5x2 + -0.5x2 Combine like terms: 1.5 + -1.5 = 0.0 -1.5 + a3 + 0.75x + -0.5x2 = 0.0 + -0.75x + 0.75x + 0.5x2 + -0.5x2 -1.5 + a3 + 0.75x + -0.5x2 = -0.75x + 0.75x + 0.5x2 + -0.5x2 Combine like terms: -0.75x + 0.75x = 0.00 -1.5 + a3 + 0.75x + -0.5x2 = 0.00 + 0.5x2 + -0.5x2 -1.5 + a3 + 0.75x + -0.5x2 = 0.5x2 + -0.5x2 Combine like terms: 0.5x2 + -0.5x2 = 0.0 -1.5 + a3 + 0.75x + -0.5x2 = 0.0 The solution to this equation could not be determined.
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