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Simplifying 6t2 + -12t + 12 = 0 Reorder the terms: 12 + -12t + 6t2 = 0 Solving 12 + -12t + 6t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '6'. 6(2 + -2t + t2) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(2 + -2t + t2)' equal to zero and attempt to solve: Simplifying 2 + -2t + t2 = 0 Solving 2 + -2t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-2' to each side of the equation. 2 + -2t + -2 + t2 = 0 + -2 Reorder the terms: 2 + -2 + -2t + t2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2t + t2 = 0 + -2 -2t + t2 = 0 + -2 Combine like terms: 0 + -2 = -2 -2t + t2 = -2 The t term is -2t. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2t + 1 + t2 = -2 + 1 Reorder the terms: 1 + -2t + t2 = -2 + 1 Combine like terms: -2 + 1 = -1 1 + -2t + t2 = -1 Factor a perfect square on the left side: (t + -1)(t + -1) = -1 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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