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Simplifying 4x2 + 24t + -27 = 0 Reorder the terms: -27 + 24t + 4x2 = 0 Solving -27 + 24t + 4x2 = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 24t + 27 + 4x2 = 0 + 27 Reorder the terms: -27 + 27 + 24t + 4x2 = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 24t + 4x2 = 0 + 27 24t + 4x2 = 0 + 27 Combine like terms: 0 + 27 = 27 24t + 4x2 = 27 Add '-4x2' to each side of the equation. 24t + 4x2 + -4x2 = 27 + -4x2 Combine like terms: 4x2 + -4x2 = 0 24t + 0 = 27 + -4x2 24t = 27 + -4x2 Divide each side by '24'. t = 1.125 + -0.1666666667x2 Simplifying t = 1.125 + -0.1666666667x2
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