-53=4.5x+4.9x^2

Solution for -53=4.5x+4.9x^2 equation:

Simplifying
-53 = 4.5x + 4.9x2

Solving
-53 = 4.5x + 4.9x2

Solving for variable 'x'.

Reorder the terms:
-53 + -4.5x + -4.9x2 = 4.5x + -4.5x + 4.9x2 + -4.9x2

Combine like terms: 4.5x + -4.5x = 0.0
-53 + -4.5x + -4.9x2 = 0.0 + 4.9x2 + -4.9x2
-53 + -4.5x + -4.9x2 = 4.9x2 + -4.9x2

Combine like terms: 4.9x2 + -4.9x2 = 0.0
-53 + -4.5x + -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'.
10.81632653 + 0.9183673469x + x2 = 0

Move the constant term to the right:

Add '-10.81632653' to each side of the equation.
10.81632653 + 0.9183673469x + -10.81632653 + x2 = 0 + -10.81632653

Reorder the terms:
10.81632653 + -10.81632653 + 0.9183673469x + x2 = 0 + -10.81632653

Combine like terms: 10.81632653 + -10.81632653 = 0.00000000
0.00000000 + 0.9183673469x + x2 = 0 + -10.81632653
0.9183673469x + x2 = 0 + -10.81632653

Combine like terms: 0 + -10.81632653 = -10.81632653
0.9183673469x + x2 = -10.81632653

The x term is 0.9183673469x.  Take half its coefficient (0.4591836735).
Square it (0.2108496460) and add it to both sides.

Add '0.2108496460' to each side of the equation.
0.9183673469x + 0.2108496460 + x2 = -10.81632653 + 0.2108496460

Reorder the terms:
0.2108496460 + 0.9183673469x + x2 = -10.81632653 + 0.2108496460

Combine like terms: -10.81632653 + 0.2108496460 = -10.605476884
0.2108496460 + 0.9183673469x + x2 = -10.605476884

Factor a perfect square on the left side:
(x + 0.4591836735)(x + 0.4591836735) = -10.605476884

Can't calculate square root of the right side.

The solution to this equation could not be determined.