44=-16t^2+32t+6

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Solution for 44=-16t^2+32t+6 equation:


Simplifying
44 = -16t2 + 32t + 6

Reorder the terms:
44 = 6 + 32t + -16t2

Solving
44 = 6 + 32t + -16t2

Solving for variable 't'.

Combine like terms: 44 + -6 = 38
38 + -32t + 16t2 = 6 + 32t + -16t2 + -6 + -32t + 16t2

Reorder the terms:
38 + -32t + 16t2 = 6 + -6 + 32t + -32t + -16t2 + 16t2

Combine like terms: 6 + -6 = 0
38 + -32t + 16t2 = 0 + 32t + -32t + -16t2 + 16t2
38 + -32t + 16t2 = 32t + -32t + -16t2 + 16t2

Combine like terms: 32t + -32t = 0
38 + -32t + 16t2 = 0 + -16t2 + 16t2
38 + -32t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
38 + -32t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(19 + -16t + 8t2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(19 + -16t + 8t2)' equal to zero and attempt to solve: Simplifying 19 + -16t + 8t2 = 0 Solving 19 + -16t + 8t2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 2.375 + -2t + t2 = 0 Move the constant term to the right: Add '-2.375' to each side of the equation. 2.375 + -2t + -2.375 + t2 = 0 + -2.375 Reorder the terms: 2.375 + -2.375 + -2t + t2 = 0 + -2.375 Combine like terms: 2.375 + -2.375 = 0.000 0.000 + -2t + t2 = 0 + -2.375 -2t + t2 = 0 + -2.375 Combine like terms: 0 + -2.375 = -2.375 -2t + t2 = -2.375 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 = -2.375 + 1 Reorder the terms: 1 + -2t + t2 = -2.375 + 1 Combine like terms: -2.375 + 1 = -1.375 1 + -2t + t2 = -1.375 Factor a perfect square on the left side: (t + -1)(t + -1) = -1.375 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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