5x^2+32+1=-7x+9

Solution for 5x^2+32+1=-7x+9 equation:

Simplifying
5x2 + 32 + 1 = -7x + 9

Reorder the terms:
32 + 1 + 5x2 = -7x + 9

Combine like terms: 32 + 1 = 33
33 + 5x2 = -7x + 9

Reorder the terms:
33 + 5x2 = 9 + -7x

Solving
33 + 5x2 = 9 + -7x

Solving for variable 'x'.

Reorder the terms:
33 + -9 + 7x + 5x2 = 9 + -7x + -9 + 7x

Combine like terms: 33 + -9 = 24
24 + 7x + 5x2 = 9 + -7x + -9 + 7x

Reorder the terms:
24 + 7x + 5x2 = 9 + -9 + -7x + 7x

Combine like terms: 9 + -9 = 0
24 + 7x + 5x2 = 0 + -7x + 7x
24 + 7x + 5x2 = -7x + 7x

Combine like terms: -7x + 7x = 0
24 + 7x + 5x2 = 0

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

Divide each side by '5'.
4.8 + 1.4x + x2 = 0

Move the constant term to the right:

Add '-4.8' to each side of the equation.
4.8 + 1.4x + -4.8 + x2 = 0 + -4.8

Reorder the terms:
4.8 + -4.8 + 1.4x + x2 = 0 + -4.8

Combine like terms: 4.8 + -4.8 = 0.0
0.0 + 1.4x + x2 = 0 + -4.8
1.4x + x2 = 0 + -4.8

Combine like terms: 0 + -4.8 = -4.8
1.4x + x2 = -4.8

The x term is 1.4x.  Take half its coefficient (0.7).
Square it (0.49) and add it to both sides.

Add '0.49' to each side of the equation.
1.4x + 0.49 + x2 = -4.8 + 0.49

Reorder the terms:
0.49 + 1.4x + x2 = -4.8 + 0.49

Combine like terms: -4.8 + 0.49 = -4.31
0.49 + 1.4x + x2 = -4.31

Factor a perfect square on the left side:
(x + 0.7)(x + 0.7) = -4.31

Can't calculate square root of the right side.

The solution to this equation could not be determined.