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Simplifying t2 + -30t + 225 = -24 Reorder the terms: 225 + -30t + t2 = -24 Solving 225 + -30t + t2 = -24 Solving for variable 't'. Reorder the terms: 225 + 24 + -30t + t2 = -24 + 24 Combine like terms: 225 + 24 = 249 249 + -30t + t2 = -24 + 24 Combine like terms: -24 + 24 = 0 249 + -30t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-249' to each side of the equation. 249 + -30t + -249 + t2 = 0 + -249 Reorder the terms: 249 + -249 + -30t + t2 = 0 + -249 Combine like terms: 249 + -249 = 0 0 + -30t + t2 = 0 + -249 -30t + t2 = 0 + -249 Combine like terms: 0 + -249 = -249 -30t + t2 = -249 The t term is -30t. Take half its coefficient (-15). Square it (225) and add it to both sides. Add '225' to each side of the equation. -30t + 225 + t2 = -249 + 225 Reorder the terms: 225 + -30t + t2 = -249 + 225 Combine like terms: -249 + 225 = -24 225 + -30t + t2 = -24 Factor a perfect square on the left side: (t + -15)(t + -15) = -24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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