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Simplifying 5t2 + 40t = -225 Reorder the terms: 40t + 5t2 = -225 Solving 40t + 5t2 = -225 Solving for variable 't'. Reorder the terms: 225 + 40t + 5t2 = -225 + 225 Combine like terms: -225 + 225 = 0 225 + 40t + 5t2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(45 + 8t + t2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(45 + 8t + t2)' equal to zero and attempt to solve: Simplifying 45 + 8t + t2 = 0 Solving 45 + 8t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-45' to each side of the equation. 45 + 8t + -45 + t2 = 0 + -45 Reorder the terms: 45 + -45 + 8t + t2 = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 8t + t2 = 0 + -45 8t + t2 = 0 + -45 Combine like terms: 0 + -45 = -45 8t + t2 = -45 The t term is 8t. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8t + 16 + t2 = -45 + 16 Reorder the terms: 16 + 8t + t2 = -45 + 16 Combine like terms: -45 + 16 = -29 16 + 8t + t2 = -29 Factor a perfect square on the left side: (t + 4)(t + 4) = -29 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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