0=-8t^2+15t-10

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Solution for 0=-8t^2+15t-10 equation:


Simplifying
0 = -8t2 + 15t + -10

Reorder the terms:
0 = -10 + 15t + -8t2

Solving
0 = -10 + 15t + -8t2

Solving for variable 't'.

Combine like terms: 0 + 10 = 10
10 + -15t + 8t2 = -10 + 15t + -8t2 + 10 + -15t + 8t2

Reorder the terms:
10 + -15t + 8t2 = -10 + 10 + 15t + -15t + -8t2 + 8t2

Combine like terms: -10 + 10 = 0
10 + -15t + 8t2 = 0 + 15t + -15t + -8t2 + 8t2
10 + -15t + 8t2 = 15t + -15t + -8t2 + 8t2

Combine like terms: 15t + -15t = 0
10 + -15t + 8t2 = 0 + -8t2 + 8t2
10 + -15t + 8t2 = -8t2 + 8t2

Combine like terms: -8t2 + 8t2 = 0
10 + -15t + 8t2 = 0

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

Divide each side by '8'.
1.25 + -1.875t + t2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + -1.875t + -1.25 + t2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + -1.875t + t2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + -1.875t + t2 = 0 + -1.25
-1.875t + t2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
-1.875t + t2 = -1.25

The t term is -1.875t.  Take half its coefficient (-0.9375).
Square it (0.87890625) and add it to both sides.

Add '0.87890625' to each side of the equation.
-1.875t + 0.87890625 + t2 = -1.25 + 0.87890625

Reorder the terms:
0.87890625 + -1.875t + t2 = -1.25 + 0.87890625

Combine like terms: -1.25 + 0.87890625 = -0.37109375
0.87890625 + -1.875t + t2 = -0.37109375

Factor a perfect square on the left side:
(t + -0.9375)(t + -0.9375) = -0.37109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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