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Simplifying -1t2 + -9t + -288 = 0 Reorder the terms: -288 + -9t + -1t2 = 0 Solving -288 + -9t + -1t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '-1'. -1(288 + 9t + t2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(288 + 9t + t2)' equal to zero and attempt to solve: Simplifying 288 + 9t + t2 = 0 Solving 288 + 9t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-288' to each side of the equation. 288 + 9t + -288 + t2 = 0 + -288 Reorder the terms: 288 + -288 + 9t + t2 = 0 + -288 Combine like terms: 288 + -288 = 0 0 + 9t + t2 = 0 + -288 9t + t2 = 0 + -288 Combine like terms: 0 + -288 = -288 9t + t2 = -288 The t term is 9t. Take half its coefficient (4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. 9t + 20.25 + t2 = -288 + 20.25 Reorder the terms: 20.25 + 9t + t2 = -288 + 20.25 Combine like terms: -288 + 20.25 = -267.75 20.25 + 9t + t2 = -267.75 Factor a perfect square on the left side: (t + 4.5)(t + 4.5) = -267.75 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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