4.9t^2+18.24t+.8=-1.43t+4.26

Solution for 4.9t^2+18.24t+.8=-1.43t+4.26 equation:

Simplifying
4.9t2 + 18.24t + 0.8 = -1.43t + 4.26

Reorder the terms:
0.8 + 18.24t + 4.9t2 = -1.43t + 4.26

Reorder the terms:
0.8 + 18.24t + 4.9t2 = 4.26 + -1.43t

Solving
0.8 + 18.24t + 4.9t2 = 4.26 + -1.43t

Solving for variable 't'.

Reorder the terms:
0.8 + -4.26 + 18.24t + 1.43t + 4.9t2 = 4.26 + -1.43t + -4.26 + 1.43t

Combine like terms: 0.8 + -4.26 = -3.46
-3.46 + 18.24t + 1.43t + 4.9t2 = 4.26 + -1.43t + -4.26 + 1.43t

Combine like terms: 18.24t + 1.43t = 19.67t
-3.46 + 19.67t + 4.9t2 = 4.26 + -1.43t + -4.26 + 1.43t

Reorder the terms:
-3.46 + 19.67t + 4.9t2 = 4.26 + -4.26 + -1.43t + 1.43t

Combine like terms: 4.26 + -4.26 = 0.00
-3.46 + 19.67t + 4.9t2 = 0.00 + -1.43t + 1.43t
-3.46 + 19.67t + 4.9t2 = -1.43t + 1.43t

Combine like terms: -1.43t + 1.43t = 0.00
-3.46 + 19.67t + 4.9t2 = 0.00

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

Divide each side by '4.9'.
-0.706122449 + 4.014285714t + t2 = 0.0

Move the constant term to the right:

Add '0.706122449' to each side of the equation.
-0.706122449 + 4.014285714t + 0.706122449 + t2 = 0.0 + 0.706122449

Reorder the terms:
-0.706122449 + 0.706122449 + 4.014285714t + t2 = 0.0 + 0.706122449

Combine like terms: -0.706122449 + 0.706122449 = 0.000000000
0.000000000 + 4.014285714t + t2 = 0.0 + 0.706122449
4.014285714t + t2 = 0.0 + 0.706122449

Combine like terms: 0.0 + 0.706122449 = 0.706122449
4.014285714t + t2 = 0.706122449

The t term is 4.014285714t.  Take half its coefficient (2.007142857).
Square it (4.028622448) and add it to both sides.

Add '4.028622448' to each side of the equation.
4.014285714t + 4.028622448 + t2 = 0.706122449 + 4.028622448

Reorder the terms:
4.028622448 + 4.014285714t + t2 = 0.706122449 + 4.028622448

Combine like terms: 0.706122449 + 4.028622448 = 4.734744897
4.028622448 + 4.014285714t + t2 = 4.734744897

Factor a perfect square on the left side:
(t + 2.007142857)(t + 2.007142857) = 4.734744897

Calculate the square root of the right side: 2.175946897

Break this problem into two subproblems by setting 
(t + 2.007142857) equal to 2.175946897 and -2.175946897.

Subproblem 1
t + 2.007142857 = 2.175946897

Simplifying
t + 2.007142857 = 2.175946897

Reorder the terms:
2.007142857 + t = 2.175946897

Solving
2.007142857 + t = 2.175946897

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-2.007142857' to each side of the equation.
2.007142857 + -2.007142857 + t = 2.175946897 + -2.007142857

Combine like terms: 2.007142857 + -2.007142857 = 0.000000000
0.000000000 + t = 2.175946897 + -2.007142857
t = 2.175946897 + -2.007142857

Combine like terms: 2.175946897 + -2.007142857 = 0.16880404
t = 0.16880404

Simplifying
t = 0.16880404

Subproblem 2
t + 2.007142857 = -2.175946897

Simplifying
t + 2.007142857 = -2.175946897

Reorder the terms:
2.007142857 + t = -2.175946897

Solving
2.007142857 + t = -2.175946897

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-2.007142857' to each side of the equation.
2.007142857 + -2.007142857 + t = -2.175946897 + -2.007142857

Combine like terms: 2.007142857 + -2.007142857 = 0.000000000
0.000000000 + t = -2.175946897 + -2.007142857
t = -2.175946897 + -2.007142857

Combine like terms: -2.175946897 + -2.007142857 = -4.183089754
t = -4.183089754

Simplifying
t = -4.183089754

Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {0.16880404, -4.183089754}