16t^2+64t+120=

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Solution for 16t^2+64t+120= equation:


Simplifying
16t2 + 64t + 120 = 0

Reorder the terms:
120 + 64t + 16t2 = 0

Solving
120 + 64t + 16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '8'.
8(15 + 8t + 2t2) = 0

Ignore the factor 8.

Subproblem 1

Set the factor '(15 + 8t + 2t2)' equal to zero and attempt to solve: Simplifying 15 + 8t + 2t2 = 0 Solving 15 + 8t + 2t2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 7.5 + 4t + t2 = 0 Move the constant term to the right: Add '-7.5' to each side of the equation. 7.5 + 4t + -7.5 + t2 = 0 + -7.5 Reorder the terms: 7.5 + -7.5 + 4t + t2 = 0 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + 4t + t2 = 0 + -7.5 4t + t2 = 0 + -7.5 Combine like terms: 0 + -7.5 = -7.5 4t + t2 = -7.5 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 = -7.5 + 4 Reorder the terms: 4 + 4t + t2 = -7.5 + 4 Combine like terms: -7.5 + 4 = -3.5 4 + 4t + t2 = -3.5 Factor a perfect square on the left side: (t + 2)(t + 2) = -3.5 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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