0=16t^2-18t+150

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Solution for 0=16t^2-18t+150 equation:


Simplifying
0 = 16t2 + -18t + 150

Reorder the terms:
0 = 150 + -18t + 16t2

Solving
0 = 150 + -18t + 16t2

Solving for variable 't'.

Combine like terms: 0 + -150 = -150
-150 + 18t + -16t2 = 150 + -18t + 16t2 + -150 + 18t + -16t2

Reorder the terms:
-150 + 18t + -16t2 = 150 + -150 + -18t + 18t + 16t2 + -16t2

Combine like terms: 150 + -150 = 0
-150 + 18t + -16t2 = 0 + -18t + 18t + 16t2 + -16t2
-150 + 18t + -16t2 = -18t + 18t + 16t2 + -16t2

Combine like terms: -18t + 18t = 0
-150 + 18t + -16t2 = 0 + 16t2 + -16t2
-150 + 18t + -16t2 = 16t2 + -16t2

Combine like terms: 16t2 + -16t2 = 0
-150 + 18t + -16t2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-75 + 9t + -8t2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-75 + 9t + -8t2)' equal to zero and attempt to solve: Simplifying -75 + 9t + -8t2 = 0 Solving -75 + 9t + -8t2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. 9.375 + -1.125t + t2 = 0 Move the constant term to the right: Add '-9.375' to each side of the equation. 9.375 + -1.125t + -9.375 + t2 = 0 + -9.375 Reorder the terms: 9.375 + -9.375 + -1.125t + t2 = 0 + -9.375 Combine like terms: 9.375 + -9.375 = 0.000 0.000 + -1.125t + t2 = 0 + -9.375 -1.125t + t2 = 0 + -9.375 Combine like terms: 0 + -9.375 = -9.375 -1.125t + t2 = -9.375 The t term is -1.125t. Take half its coefficient (-0.5625). Square it (0.31640625) and add it to both sides. Add '0.31640625' to each side of the equation. -1.125t + 0.31640625 + t2 = -9.375 + 0.31640625 Reorder the terms: 0.31640625 + -1.125t + t2 = -9.375 + 0.31640625 Combine like terms: -9.375 + 0.31640625 = -9.05859375 0.31640625 + -1.125t + t2 = -9.05859375 Factor a perfect square on the left side: (t + -0.5625)(t + -0.5625) = -9.05859375 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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