4t^2-(t+4)+42=0

Solution for 4t^2-(t+4)+42=0 equation:

Simplifying
4t2 + -1(t + 4) + 42 = 0

Reorder the terms:
4t2 + -1(4 + t) + 42 = 0
4t2 + (4 * -1 + t * -1) + 42 = 0
4t2 + (-4 + -1t) + 42 = 0

Reorder the terms:
-4 + 42 + -1t + 4t2 = 0

Combine like terms: -4 + 42 = 38
38 + -1t + 4t2 = 0

Solving
38 + -1t + 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'.
9.5 + -0.25t + t2 = 0

Move the constant term to the right:

Add '-9.5' to each side of the equation.
9.5 + -0.25t + -9.5 + t2 = 0 + -9.5

Reorder the terms:
9.5 + -9.5 + -0.25t + t2 = 0 + -9.5

Combine like terms: 9.5 + -9.5 = 0.0
0.0 + -0.25t + t2 = 0 + -9.5
-0.25t + t2 = 0 + -9.5

Combine like terms: 0 + -9.5 = -9.5
-0.25t + t2 = -9.5

The t term is -0.25t.  Take half its coefficient (-0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
-0.25t + 0.015625 + t2 = -9.5 + 0.015625

Reorder the terms:
0.015625 + -0.25t + t2 = -9.5 + 0.015625

Combine like terms: -9.5 + 0.015625 = -9.484375
0.015625 + -0.25t + t2 = -9.484375

Factor a perfect square on the left side:
(t + -0.125)(t + -0.125) = -9.484375

Can't calculate square root of the right side.

The solution to this equation could not be determined.