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Simplifying 4x2 + -3x + 5a + -3 = 12 Reorder the terms: -3 + 5a + -3x + 4x2 = 12 Solving -3 + 5a + -3x + 4x2 = 12 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 5a + -3x + 3 + 4x2 = 12 + 3 Reorder the terms: -3 + 3 + 5a + -3x + 4x2 = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 5a + -3x + 4x2 = 12 + 3 5a + -3x + 4x2 = 12 + 3 Combine like terms: 12 + 3 = 15 5a + -3x + 4x2 = 15 Add '3x' to each side of the equation. 5a + -3x + 3x + 4x2 = 15 + 3x Combine like terms: -3x + 3x = 0 5a + 0 + 4x2 = 15 + 3x 5a + 4x2 = 15 + 3x Add '-4x2' to each side of the equation. 5a + 4x2 + -4x2 = 15 + 3x + -4x2 Combine like terms: 4x2 + -4x2 = 0 5a + 0 = 15 + 3x + -4x2 5a = 15 + 3x + -4x2 Divide each side by '5'. a = 3 + 0.6x + -0.8x2 Simplifying a = 3 + 0.6x + -0.8x2
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