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Simplifying 3t2 = 6t + -12 Reorder the terms: 3t2 = -12 + 6t Solving 3t2 = -12 + 6t Solving for variable 't'. Reorder the terms: 12 + -6t + 3t2 = -12 + 6t + 12 + -6t Reorder the terms: 12 + -6t + 3t2 = -12 + 12 + 6t + -6t Combine like terms: -12 + 12 = 0 12 + -6t + 3t2 = 0 + 6t + -6t 12 + -6t + 3t2 = 6t + -6t Combine like terms: 6t + -6t = 0 12 + -6t + 3t2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(4 + -2t + t2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(4 + -2t + t2)' equal to zero and attempt to solve: Simplifying 4 + -2t + t2 = 0 Solving 4 + -2t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-4' to each side of the equation. 4 + -2t + -4 + t2 = 0 + -4 Reorder the terms: 4 + -4 + -2t + t2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2t + t2 = 0 + -4 -2t + t2 = 0 + -4 Combine like terms: 0 + -4 = -4 -2t + t2 = -4 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 = -4 + 1 Reorder the terms: 1 + -2t + t2 = -4 + 1 Combine like terms: -4 + 1 = -3 1 + -2t + t2 = -3 Factor a perfect square on the left side: (t + -1)(t + -1) = -3 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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