4x^2+2x+25+(2x+5)(x-3)=2x+5

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Solution for 4x^2+2x+25+(2x+5)(x-3)=2x+5 equation: 


Simplifying
4x2 + 2x + 25 + (2x + 5)(x + -3) = 2x + 5

Reorder the terms:
4x2 + 2x + 25 + (5 + 2x)(x + -3) = 2x + 5

Reorder the terms:
4x2 + 2x + 25 + (5 + 2x)(-3 + x) = 2x + 5

Multiply (5 + 2x) * (-3 + x)
4x2 + 2x + 25 + (5(-3 + x) + 2x * (-3 + x)) = 2x + 5
4x2 + 2x + 25 + ((-3 * 5 + x * 5) + 2x * (-3 + x)) = 2x + 5
4x2 + 2x + 25 + ((-15 + 5x) + 2x * (-3 + x)) = 2x + 5
4x2 + 2x + 25 + (-15 + 5x + (-3 * 2x + x * 2x)) = 2x + 5
4x2 + 2x + 25 + (-15 + 5x + (-6x + 2x2)) = 2x + 5

Combine like terms: 5x + -6x = -1x
4x2 + 2x + 25 + (-15 + -1x + 2x2) = 2x + 5

Reorder the terms:
25 + -15 + 2x + -1x + 4x2 + 2x2 = 2x + 5

Combine like terms: 25 + -15 = 10
10 + 2x + -1x + 4x2 + 2x2 = 2x + 5

Combine like terms: 2x + -1x = 1x
10 + 1x + 4x2 + 2x2 = 2x + 5

Combine like terms: 4x2 + 2x2 = 6x2
10 + 1x + 6x2 = 2x + 5

Reorder the terms:
10 + 1x + 6x2 = 5 + 2x

Solving
10 + 1x + 6x2 = 5 + 2x

Solving for variable 'x'.

Reorder the terms:
10 + -5 + 1x + -2x + 6x2 = 5 + 2x + -5 + -2x

Combine like terms: 10 + -5 = 5
5 + 1x + -2x + 6x2 = 5 + 2x + -5 + -2x

Combine like terms: 1x + -2x = -1x
5 + -1x + 6x2 = 5 + 2x + -5 + -2x

Reorder the terms:
5 + -1x + 6x2 = 5 + -5 + 2x + -2x

Combine like terms: 5 + -5 = 0
5 + -1x + 6x2 = 0 + 2x + -2x
5 + -1x + 6x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
5 + -1x + 6x2 = 0

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

Divide each side by '6'.
0.8333333333 + -0.1666666667x + x2 = 0

Move the constant term to the right:

Add '-0.8333333333' to each side of the equation.
0.8333333333 + -0.1666666667x + -0.8333333333 + x2 = 0 + -0.8333333333

Reorder the terms:
0.8333333333 + -0.8333333333 + -0.1666666667x + x2 = 0 + -0.8333333333

Combine like terms: 0.8333333333 + -0.8333333333 = 0.0000000000
0.0000000000 + -0.1666666667x + x2 = 0 + -0.8333333333
-0.1666666667x + x2 = 0 + -0.8333333333

Combine like terms: 0 + -0.8333333333 = -0.8333333333
-0.1666666667x + x2 = -0.8333333333

The x term is -0.1666666667x.  Take half its coefficient (-0.08333333335).
Square it (0.006944444447) and add it to both sides.

Add '0.006944444447' to each side of the equation.
-0.1666666667x + 0.006944444447 + x2 = -0.8333333333 + 0.006944444447

Reorder the terms:
0.006944444447 + -0.1666666667x + x2 = -0.8333333333 + 0.006944444447

Combine like terms: -0.8333333333 + 0.006944444447 = -0.826388888853
0.006944444447 + -0.1666666667x + x2 = -0.826388888853

Factor a perfect square on the left side:
(x + -0.08333333335)(x + -0.08333333335) = -0.826388888853

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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