3=1+35x-4.9x^2

Solution for 3=1+35x-4.9x^2 equation:

Simplifying
3 = 1 + 35x + -4.9x2

Solving
3 = 1 + 35x + -4.9x2

Solving for variable 'x'.

Combine like terms: 3 + -1 = 2
2 + -35x + 4.9x2 = 1 + 35x + -4.9x2 + -1 + -35x + 4.9x2

Reorder the terms:
2 + -35x + 4.9x2 = 1 + -1 + 35x + -35x + -4.9x2 + 4.9x2

Combine like terms: 1 + -1 = 0
2 + -35x + 4.9x2 = 0 + 35x + -35x + -4.9x2 + 4.9x2
2 + -35x + 4.9x2 = 35x + -35x + -4.9x2 + 4.9x2

Combine like terms: 35x + -35x = 0
2 + -35x + 4.9x2 = 0 + -4.9x2 + 4.9x2
2 + -35x + 4.9x2 = -4.9x2 + 4.9x2

Combine like terms: -4.9x2 + 4.9x2 = 0.0
2 + -35x + 4.9x2 = 0.0

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

Divide each side by '4.9'.
0.4081632653 + -7.142857143x + x2 = 0

Move the constant term to the right:

Add '-0.4081632653' to each side of the equation.
0.4081632653 + -7.142857143x + -0.4081632653 + x2 = 0 + -0.4081632653

Reorder the terms:
0.4081632653 + -0.4081632653 + -7.142857143x + x2 = 0 + -0.4081632653

Combine like terms: 0.4081632653 + -0.4081632653 = 0.0000000000
0.0000000000 + -7.142857143x + x2 = 0 + -0.4081632653
-7.142857143x + x2 = 0 + -0.4081632653

Combine like terms: 0 + -0.4081632653 = -0.4081632653
-7.142857143x + x2 = -0.4081632653

The x term is -7.142857143x.  Take half its coefficient (-3.571428572).
Square it (12.75510204) and add it to both sides.

Add '12.75510204' to each side of the equation.
-7.142857143x + 12.75510204 + x2 = -0.4081632653 + 12.75510204

Reorder the terms:
12.75510204 + -7.142857143x + x2 = -0.4081632653 + 12.75510204

Combine like terms: -0.4081632653 + 12.75510204 = 12.3469387747
12.75510204 + -7.142857143x + x2 = 12.3469387747

Factor a perfect square on the left side:
(x + -3.571428572)(x + -3.571428572) = 12.3469387747

Calculate the square root of the right side: 3.513821107

Break this problem into two subproblems by setting 
(x + -3.571428572) equal to 3.513821107 and -3.513821107.

Subproblem 1
x + -3.571428572 = 3.513821107

Simplifying
x + -3.571428572 = 3.513821107

Reorder the terms:
-3.571428572 + x = 3.513821107

Solving
-3.571428572 + x = 3.513821107

Solving for variable 'x'.

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

Add '3.571428572' to each side of the equation.
-3.571428572 + 3.571428572 + x = 3.513821107 + 3.571428572

Combine like terms: -3.571428572 + 3.571428572 = 0.000000000
0.000000000 + x = 3.513821107 + 3.571428572
x = 3.513821107 + 3.571428572

Combine like terms: 3.513821107 + 3.571428572 = 7.085249679
x = 7.085249679

Simplifying
x = 7.085249679

Subproblem 2
x + -3.571428572 = -3.513821107

Simplifying
x + -3.571428572 = -3.513821107

Reorder the terms:
-3.571428572 + x = -3.513821107

Solving
-3.571428572 + x = -3.513821107

Solving for variable 'x'.

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

Add '3.571428572' to each side of the equation.
-3.571428572 + 3.571428572 + x = -3.513821107 + 3.571428572

Combine like terms: -3.571428572 + 3.571428572 = 0.000000000
0.000000000 + x = -3.513821107 + 3.571428572
x = -3.513821107 + 3.571428572

Combine like terms: -3.513821107 + 3.571428572 = 0.057607465
x = 0.057607465

Simplifying
x = 0.057607465

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {7.085249679, 0.057607465}