-12.75=4.9t^2+4.75t

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Solution for -12.75=4.9t^2+4.75t equation:


Simplifying
-12.75 = 4.9t2 + 4.75t

Reorder the terms:
-12.75 = 4.75t + 4.9t2

Solving
-12.75 = 4.75t + 4.9t2

Solving for variable 't'.

Reorder the terms:
-12.75 + -4.75t + -4.9t2 = 4.75t + -4.75t + 4.9t2 + -4.9t2

Combine like terms: 4.75t + -4.75t = 0.00
-12.75 + -4.75t + -4.9t2 = 0.00 + 4.9t2 + -4.9t2
-12.75 + -4.75t + -4.9t2 = 4.9t2 + -4.9t2

Combine like terms: 4.9t2 + -4.9t2 = 0.0
-12.75 + -4.75t + -4.9t2 = 0.0

Begin completing the square.  Divide all terms by
-4.9 the coefficient of the squared term: 

Divide each side by '-4.9'.
2.602040816 + 0.9693877551t + t2 = 0

Move the constant term to the right:

Add '-2.602040816' to each side of the equation.
2.602040816 + 0.9693877551t + -2.602040816 + t2 = 0 + -2.602040816

Reorder the terms:
2.602040816 + -2.602040816 + 0.9693877551t + t2 = 0 + -2.602040816

Combine like terms: 2.602040816 + -2.602040816 = 0.000000000
0.000000000 + 0.9693877551t + t2 = 0 + -2.602040816
0.9693877551t + t2 = 0 + -2.602040816

Combine like terms: 0 + -2.602040816 = -2.602040816
0.9693877551t + t2 = -2.602040816

The t term is 0.9693877551t.  Take half its coefficient (0.4846938776).
Square it (0.2349281550) and add it to both sides.

Add '0.2349281550' to each side of the equation.
0.9693877551t + 0.2349281550 + t2 = -2.602040816 + 0.2349281550

Reorder the terms:
0.2349281550 + 0.9693877551t + t2 = -2.602040816 + 0.2349281550

Combine like terms: -2.602040816 + 0.2349281550 = -2.367112661
0.2349281550 + 0.9693877551t + t2 = -2.367112661

Factor a perfect square on the left side:
(t + 0.4846938776)(t + 0.4846938776) = -2.367112661

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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