45x-34x^2=78

Solution for 45x-34x^2=78 equation:

Simplifying
45x + -34x2 = 78

Solving
45x + -34x2 = 78

Solving for variable 'x'.

Reorder the terms:
-78 + 45x + -34x2 = 78 + -78

Combine like terms: 78 + -78 = 0
-78 + 45x + -34x2 = 0

Begin completing the square.  Divide all terms by
-34 the coefficient of the squared term: 

Divide each side by '-34'.
2.294117647 + -1.323529412x + x2 = 0

Move the constant term to the right:

Add '-2.294117647' to each side of the equation.
2.294117647 + -1.323529412x + -2.294117647 + x2 = 0 + -2.294117647

Reorder the terms:
2.294117647 + -2.294117647 + -1.323529412x + x2 = 0 + -2.294117647

Combine like terms: 2.294117647 + -2.294117647 = 0.000000000
0.000000000 + -1.323529412x + x2 = 0 + -2.294117647
-1.323529412x + x2 = 0 + -2.294117647

Combine like terms: 0 + -2.294117647 = -2.294117647
-1.323529412x + x2 = -2.294117647

The x term is -1.323529412x.  Take half its coefficient (-0.661764706).
Square it (0.4379325261) and add it to both sides.

Add '0.4379325261' to each side of the equation.
-1.323529412x + 0.4379325261 + x2 = -2.294117647 + 0.4379325261

Reorder the terms:
0.4379325261 + -1.323529412x + x2 = -2.294117647 + 0.4379325261

Combine like terms: -2.294117647 + 0.4379325261 = -1.8561851209
0.4379325261 + -1.323529412x + x2 = -1.8561851209

Factor a perfect square on the left side:
(x + -0.661764706)(x + -0.661764706) = -1.8561851209

Can't calculate square root of the right side.

The solution to this equation could not be determined.