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Simplifying 5a + -2x(3x + 4) + 6a = 0 Reorder the terms: 5a + -2x(4 + 3x) + 6a = 0 5a + (4 * -2x + 3x * -2x) + 6a = 0 5a + (-8x + -6x2) + 6a = 0 Reorder the terms: 5a + 6a + -8x + -6x2 = 0 Combine like terms: 5a + 6a = 11a 11a + -8x + -6x2 = 0 Solving 11a + -8x + -6x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8x' to each side of the equation. 11a + -8x + 8x + -6x2 = 0 + 8x Combine like terms: -8x + 8x = 0 11a + 0 + -6x2 = 0 + 8x 11a + -6x2 = 0 + 8x Remove the zero: 11a + -6x2 = 8x Add '6x2' to each side of the equation. 11a + -6x2 + 6x2 = 8x + 6x2 Combine like terms: -6x2 + 6x2 = 0 11a + 0 = 8x + 6x2 11a = 8x + 6x2 Divide each side by '11'. a = 0.7272727273x + 0.5454545455x2 Simplifying a = 0.7272727273x + 0.5454545455x2
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