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Simplifying 9x2 + -6(x + c2 + -4a) = 0 Reorder the terms: 9x2 + -6(-4a + c2 + x) = 0 9x2 + (-4a * -6 + c2 * -6 + x * -6) = 0 9x2 + (24a + -6c2 + -6x) = 0 Reorder the terms: 24a + -6c2 + -6x + 9x2 = 0 Solving 24a + -6c2 + -6x + 9x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6c2' to each side of the equation. 24a + -6c2 + -6x + 6c2 + 9x2 = 0 + 6c2 Reorder the terms: 24a + -6c2 + 6c2 + -6x + 9x2 = 0 + 6c2 Combine like terms: -6c2 + 6c2 = 0 24a + 0 + -6x + 9x2 = 0 + 6c2 24a + -6x + 9x2 = 0 + 6c2 Remove the zero: 24a + -6x + 9x2 = 6c2 Add '6x' to each side of the equation. 24a + -6x + 6x + 9x2 = 6c2 + 6x Combine like terms: -6x + 6x = 0 24a + 0 + 9x2 = 6c2 + 6x 24a + 9x2 = 6c2 + 6x Add '-9x2' to each side of the equation. 24a + 9x2 + -9x2 = 6c2 + 6x + -9x2 Combine like terms: 9x2 + -9x2 = 0 24a + 0 = 6c2 + 6x + -9x2 24a = 6c2 + 6x + -9x2 Divide each side by '24'. a = 0.25c2 + 0.25x + -0.375x2 Simplifying a = 0.25c2 + 0.25x + -0.375x2
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