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Simplifying 3t2 + -36t + 150 = 0 Reorder the terms: 150 + -36t + 3t2 = 0 Solving 150 + -36t + 3t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '3'. 3(50 + -12t + t2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(50 + -12t + t2)' equal to zero and attempt to solve: Simplifying 50 + -12t + t2 = 0 Solving 50 + -12t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-50' to each side of the equation. 50 + -12t + -50 + t2 = 0 + -50 Reorder the terms: 50 + -50 + -12t + t2 = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -12t + t2 = 0 + -50 -12t + t2 = 0 + -50 Combine like terms: 0 + -50 = -50 -12t + t2 = -50 The t term is -12t. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12t + 36 + t2 = -50 + 36 Reorder the terms: 36 + -12t + t2 = -50 + 36 Combine like terms: -50 + 36 = -14 36 + -12t + t2 = -14 Factor a perfect square on the left side: (t + -6)(t + -6) = -14 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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