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Simplifying 16t2 + -64t + 320 = 0 Reorder the terms: 320 + -64t + 16t2 = 0 Solving 320 + -64t + 16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '16'. 16(20 + -4t + t2) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(20 + -4t + t2)' equal to zero and attempt to solve: Simplifying 20 + -4t + t2 = 0 Solving 20 + -4t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-20' to each side of the equation. 20 + -4t + -20 + t2 = 0 + -20 Reorder the terms: 20 + -20 + -4t + t2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -4t + t2 = 0 + -20 -4t + t2 = 0 + -20 Combine like terms: 0 + -20 = -20 -4t + t2 = -20 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 = -20 + 4 Reorder the terms: 4 + -4t + t2 = -20 + 4 Combine like terms: -20 + 4 = -16 4 + -4t + t2 = -16 Factor a perfect square on the left side: (t + -2)(t + -2) = -16 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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