7x-5x^2-4=2x+3

Solution for 7x-5x^2-4=2x+3 equation:

Simplifying
7x + -5x2 + -4 = 2x + 3

Reorder the terms:
-4 + 7x + -5x2 = 2x + 3

Reorder the terms:
-4 + 7x + -5x2 = 3 + 2x

Solving
-4 + 7x + -5x2 = 3 + 2x

Solving for variable 'x'.

Reorder the terms:
-4 + -3 + 7x + -2x + -5x2 = 3 + 2x + -3 + -2x

Combine like terms: -4 + -3 = -7
-7 + 7x + -2x + -5x2 = 3 + 2x + -3 + -2x

Combine like terms: 7x + -2x = 5x
-7 + 5x + -5x2 = 3 + 2x + -3 + -2x

Reorder the terms:
-7 + 5x + -5x2 = 3 + -3 + 2x + -2x

Combine like terms: 3 + -3 = 0
-7 + 5x + -5x2 = 0 + 2x + -2x
-7 + 5x + -5x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-7 + 5x + -5x2 = 0

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

Divide each side by '-5'.
1.4 + -1x + x2 = 0

Move the constant term to the right:

Add '-1.4' to each side of the equation.
1.4 + -1x + -1.4 + x2 = 0 + -1.4

Reorder the terms:
1.4 + -1.4 + -1x + x2 = 0 + -1.4

Combine like terms: 1.4 + -1.4 = 0.0
0.0 + -1x + x2 = 0 + -1.4
-1x + x2 = 0 + -1.4

Combine like terms: 0 + -1.4 = -1.4
-1x + x2 = -1.4

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -1.4 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -1.4 + 0.25

Combine like terms: -1.4 + 0.25 = -1.15
0.25 + -1x + x2 = -1.15

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -1.15

Can't calculate square root of the right side.

The solution to this equation could not be determined.