-10.5t^2+66.3t+6=110.7

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Solution for -10.5t^2+66.3t+6=110.7 equation:


Simplifying
-10.5t2 + 66.3t + 6 = 110.7

Reorder the terms:
6 + 66.3t + -10.5t2 = 110.7

Solving
6 + 66.3t + -10.5t2 = 110.7

Solving for variable 't'.

Reorder the terms:
6 + -110.7 + 66.3t + -10.5t2 = 110.7 + -110.7

Combine like terms: 6 + -110.7 = -104.7
-104.7 + 66.3t + -10.5t2 = 110.7 + -110.7

Combine like terms: 110.7 + -110.7 = 0.0
-104.7 + 66.3t + -10.5t2 = 0.0

Begin completing the square.  Divide all terms by
-10.5 the coefficient of the squared term: 

Divide each side by '-10.5'.
9.971428571 + -6.314285714t + t2 = 0

Move the constant term to the right:

Add '-9.971428571' to each side of the equation.
9.971428571 + -6.314285714t + -9.971428571 + t2 = 0 + -9.971428571

Reorder the terms:
9.971428571 + -9.971428571 + -6.314285714t + t2 = 0 + -9.971428571

Combine like terms: 9.971428571 + -9.971428571 = 0.000000000
0.000000000 + -6.314285714t + t2 = 0 + -9.971428571
-6.314285714t + t2 = 0 + -9.971428571

Combine like terms: 0 + -9.971428571 = -9.971428571
-6.314285714t + t2 = -9.971428571

The t term is -6.314285714t.  Take half its coefficient (-3.157142857).
Square it (9.967551020) and add it to both sides.

Add '9.967551020' to each side of the equation.
-6.314285714t + 9.967551020 + t2 = -9.971428571 + 9.967551020

Reorder the terms:
9.967551020 + -6.314285714t + t2 = -9.971428571 + 9.967551020

Combine like terms: -9.971428571 + 9.967551020 = -0.003877551
9.967551020 + -6.314285714t + t2 = -0.003877551

Factor a perfect square on the left side:
(t + -3.157142857)(t + -3.157142857) = -0.003877551

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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