1.5=-0.00003x^2+0.0079x+1.059

Solution for 1.5=-0.00003x^2+0.0079x+1.059 equation:

Simplifying
1.5 = -0.00003x2 + 0.0079x + 1.059

Reorder the terms:
1.5 = 1.059 + 0.0079x + -0.00003x2

Solving
1.5 = 1.059 + 0.0079x + -0.00003x2

Solving for variable 'x'.

Combine like terms: 1.5 + -1.059 = 0.441
0.441 + -0.0079x + 0.00003x2 = 1.059 + 0.0079x + -0.00003x2 + -1.059 + -0.0079x + 0.00003x2

Reorder the terms:
0.441 + -0.0079x + 0.00003x2 = 1.059 + -1.059 + 0.0079x + -0.0079x + -0.00003x2 + 0.00003x2

Combine like terms: 1.059 + -1.059 = 0.000
0.441 + -0.0079x + 0.00003x2 = 0.000 + 0.0079x + -0.0079x + -0.00003x2 + 0.00003x2
0.441 + -0.0079x + 0.00003x2 = 0.0079x + -0.0079x + -0.00003x2 + 0.00003x2

Combine like terms: 0.0079x + -0.0079x = 0.0000
0.441 + -0.0079x + 0.00003x2 = 0.0000 + -0.00003x2 + 0.00003x2
0.441 + -0.0079x + 0.00003x2 = -0.00003x2 + 0.00003x2

Combine like terms: -0.00003x2 + 0.00003x2 = 0.00000
0.441 + -0.0079x + 0.00003x2 = 0.00000

Begin completing the square.  Divide all terms by
0.00003 the coefficient of the squared term: 

Divide each side by '0.00003'.
14700 + -263.3333333x + x2 = 0

Move the constant term to the right:

Add '-14700' to each side of the equation.
14700 + -263.3333333x + -14700 + x2 = 0 + -14700

Reorder the terms:
14700 + -14700 + -263.3333333x + x2 = 0 + -14700

Combine like terms: 14700 + -14700 = 0
0 + -263.3333333x + x2 = 0 + -14700
-263.3333333x + x2 = 0 + -14700

Combine like terms: 0 + -14700 = -14700
-263.3333333x + x2 = -14700

The x term is -263.3333333x.  Take half its coefficient (-131.6666667).
Square it (17336.11112) and add it to both sides.

Add '17336.11112' to each side of the equation.
-263.3333333x + 17336.11112 + x2 = -14700 + 17336.11112

Reorder the terms:
17336.11112 + -263.3333333x + x2 = -14700 + 17336.11112

Combine like terms: -14700 + 17336.11112 = 2636.11112
17336.11112 + -263.3333333x + x2 = 2636.11112

Factor a perfect square on the left side:
(x + -131.6666667)(x + -131.6666667) = 2636.11112

Calculate the square root of the right side: 51.343072756

Break this problem into two subproblems by setting 
(x + -131.6666667) equal to 51.343072756 and -51.343072756.

Subproblem 1
x + -131.6666667 = 51.343072756

Simplifying
x + -131.6666667 = 51.343072756

Reorder the terms:
-131.6666667 + x = 51.343072756

Solving
-131.6666667 + x = 51.343072756

Solving for variable 'x'.

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

Add '131.6666667' to each side of the equation.
-131.6666667 + 131.6666667 + x = 51.343072756 + 131.6666667

Combine like terms: -131.6666667 + 131.6666667 = 0.0000000
0.0000000 + x = 51.343072756 + 131.6666667
x = 51.343072756 + 131.6666667

Combine like terms: 51.343072756 + 131.6666667 = 183.009739456
x = 183.009739456

Simplifying
x = 183.009739456

Subproblem 2
x + -131.6666667 = -51.343072756

Simplifying
x + -131.6666667 = -51.343072756

Reorder the terms:
-131.6666667 + x = -51.343072756

Solving
-131.6666667 + x = -51.343072756

Solving for variable 'x'.

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

Add '131.6666667' to each side of the equation.
-131.6666667 + 131.6666667 + x = -51.343072756 + 131.6666667

Combine like terms: -131.6666667 + 131.6666667 = 0.0000000
0.0000000 + x = -51.343072756 + 131.6666667
x = -51.343072756 + 131.6666667

Combine like terms: -51.343072756 + 131.6666667 = 80.323593944
x = 80.323593944

Simplifying
x = 80.323593944

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {183.009739456, 80.323593944}