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Simplifying 1296 = -16(t + -9)(t + 9) Reorder the terms: 1296 = -16(-9 + t)(t + 9) Reorder the terms: 1296 = -16(-9 + t)(9 + t) Multiply (-9 + t) * (9 + t) 1296 = -16(-9(9 + t) + t(9 + t)) 1296 = -16((9 * -9 + t * -9) + t(9 + t)) 1296 = -16((-81 + -9t) + t(9 + t)) 1296 = -16(-81 + -9t + (9 * t + t * t)) 1296 = -16(-81 + -9t + (9t + t2)) Combine like terms: -9t + 9t = 0 1296 = -16(-81 + 0 + t2) 1296 = -16(-81 + t2) 1296 = (-81 * -16 + t2 * -16) 1296 = (1296 + -16t2) Add '-1296' to each side of the equation. 1296 + -1296 = 1296 + -1296 + -16t2 Combine like terms: 1296 + -1296 = 0 0 = 1296 + -1296 + -16t2 Combine like terms: 1296 + -1296 = 0 0 = 0 + -16t2 0 = -16t2 Solving 0 = -16t2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '16t2' to each side of the equation. 0 + 16t2 = -16t2 + 16t2 Remove the zero: 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 16t2 = 0 Divide each side by '16'. t2 = 0 Simplifying t2 = 0 Take the square root of each side: t = {0}
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