18t^2-42t+98=0

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Solution for 18t^2-42t+98=0 equation: 


Simplifying
18t2 + -42t + 98 = 0

Reorder the terms:
98 + -42t + 18t2 = 0

Solving
98 + -42t + 18t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2'.
2(49 + -21t + 9t2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(49 + -21t + 9t2)' equal to zero and attempt to solve:

Simplifying
49 + -21t + 9t2 = 0

Solving
49 + -21t + 9t2 = 0

Begin completing the square.  Divide all terms by
9 the coefficient of the squared term: 

Divide each side by '9'.
5.444444444 + -2.333333333t + t2 = 0

Move the constant term to the right:

Add '-5.444444444' to each side of the equation.
5.444444444 + -2.333333333t + -5.444444444 + t2 = 0 + -5.444444444

Reorder the terms:
5.444444444 + -5.444444444 + -2.333333333t + t2 = 0 + -5.444444444

Combine like terms: 5.444444444 + -5.444444444 = 0.000000000
0.000000000 + -2.333333333t + t2 = 0 + -5.444444444
-2.333333333t + t2 = 0 + -5.444444444

Combine like terms: 0 + -5.444444444 = -5.444444444
-2.333333333t + t2 = -5.444444444

The t term is -2.333333333t.  Take half its coefficient (-1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
-2.333333333t + 1.361111112 + t2 = -5.444444444 + 1.361111112

Reorder the terms:
1.361111112 + -2.333333333t + t2 = -5.444444444 + 1.361111112

Combine like terms: -5.444444444 + 1.361111112 = -4.083333332
1.361111112 + -2.333333333t + t2 = -4.083333332

Factor a perfect square on the left side:
(t + -1.166666667)(t + -1.166666667) = -4.083333332

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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