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Simplifying 3(t2 + -4t + 9) = 0 Reorder the terms: 3(9 + -4t + t2) = 0 (9 * 3 + -4t * 3 + t2 * 3) = 0 (27 + -12t + 3t2) = 0 Solving 27 + -12t + 3t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '3'. 3(9 + -4t + t2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(9 + -4t + t2)' equal to zero and attempt to solve: Simplifying 9 + -4t + t2 = 0 Solving 9 + -4t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + -4t + -9 + t2 = 0 + -9 Reorder the terms: 9 + -9 + -4t + t2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4t + t2 = 0 + -9 -4t + t2 = 0 + -9 Combine like terms: 0 + -9 = -9 -4t + t2 = -9 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 = -9 + 4 Reorder the terms: 4 + -4t + t2 = -9 + 4 Combine like terms: -9 + 4 = -5 4 + -4t + t2 = -5 Factor a perfect square on the left side: (t + -2)(t + -2) = -5 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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