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Simplifying 2t2 + -8t + 60 = 0 Reorder the terms: 60 + -8t + 2t2 = 0 Solving 60 + -8t + 2t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2'. 2(30 + -4t + t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(30 + -4t + t2)' equal to zero and attempt to solve: Simplifying 30 + -4t + t2 = 0 Solving 30 + -4t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-30' to each side of the equation. 30 + -4t + -30 + t2 = 0 + -30 Reorder the terms: 30 + -30 + -4t + t2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -4t + t2 = 0 + -30 -4t + t2 = 0 + -30 Combine like terms: 0 + -30 = -30 -4t + t2 = -30 The t term is -4t. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4t + 4 + t2 = -30 + 4 Reorder the terms: 4 + -4t + t2 = -30 + 4 Combine like terms: -30 + 4 = -26 4 + -4t + t2 = -26 Factor a perfect square on the left side: (t + -2)(t + -2) = -26 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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