4t^2-7t+8=0

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Solution for 4t^2-7t+8=0 equation:


Simplifying
4t2 + -7t + 8 = 0

Reorder the terms:
8 + -7t + 4t2 = 0

Solving
8 + -7t + 4t2 = 0

Solving for variable 't'.

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

Divide each side by '4'.
2 + -1.75t + t2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -1.75t + -2 + t2 = 0 + -2

Reorder the terms:
2 + -2 + -1.75t + t2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1.75t + t2 = 0 + -2
-1.75t + t2 = 0 + -2

Combine like terms: 0 + -2 = -2
-1.75t + t2 = -2

The t term is -1.75t.  Take half its coefficient (-0.875).
Square it (0.765625) and add it to both sides.

Add '0.765625' to each side of the equation.
-1.75t + 0.765625 + t2 = -2 + 0.765625

Reorder the terms:
0.765625 + -1.75t + t2 = -2 + 0.765625

Combine like terms: -2 + 0.765625 = -1.234375
0.765625 + -1.75t + t2 = -1.234375

Factor a perfect square on the left side:
(t + -0.875)(t + -0.875) = -1.234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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