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

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


Simplifying
(x + 5)(x + 2) + -3(4x + -3) = (x + -5) * 2

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

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

Multiply (5 + x) * (2 + x)
(5(2 + x) + x(2 + x)) + -3(4x + -3) = (x + -5) * 2
((2 * 5 + x * 5) + x(2 + x)) + -3(4x + -3) = (x + -5) * 2
((10 + 5x) + x(2 + x)) + -3(4x + -3) = (x + -5) * 2
(10 + 5x + (2 * x + x * x)) + -3(4x + -3) = (x + -5) * 2
(10 + 5x + (2x + x2)) + -3(4x + -3) = (x + -5) * 2

Combine like terms: 5x + 2x = 7x
(10 + 7x + x2) + -3(4x + -3) = (x + -5) * 2

Reorder the terms:
10 + 7x + x2 + -3(-3 + 4x) = (x + -5) * 2
10 + 7x + x2 + (-3 * -3 + 4x * -3) = (x + -5) * 2
10 + 7x + x2 + (9 + -12x) = (x + -5) * 2

Reorder the terms:
10 + 9 + 7x + -12x + x2 = (x + -5) * 2

Combine like terms: 10 + 9 = 19
19 + 7x + -12x + x2 = (x + -5) * 2

Combine like terms: 7x + -12x = -5x
19 + -5x + x2 = (x + -5) * 2

Reorder the terms:
19 + -5x + x2 = (-5 + x) * 2

Reorder the terms for easier multiplication:
19 + -5x + x2 = 2(-5 + x)
19 + -5x + x2 = (-5 * 2 + x * 2)
19 + -5x + x2 = (-10 + 2x)

Solving
19 + -5x + x2 = -10 + 2x

Solving for variable 'x'.

Reorder the terms:
19 + 10 + -5x + -2x + x2 = -10 + 2x + 10 + -2x

Combine like terms: 19 + 10 = 29
29 + -5x + -2x + x2 = -10 + 2x + 10 + -2x

Combine like terms: -5x + -2x = -7x
29 + -7x + x2 = -10 + 2x + 10 + -2x

Reorder the terms:
29 + -7x + x2 = -10 + 10 + 2x + -2x

Combine like terms: -10 + 10 = 0
29 + -7x + x2 = 0 + 2x + -2x
29 + -7x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
29 + -7x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-29' to each side of the equation.
29 + -7x + -29 + x2 = 0 + -29

Reorder the terms:
29 + -29 + -7x + x2 = 0 + -29

Combine like terms: 29 + -29 = 0
0 + -7x + x2 = 0 + -29
-7x + x2 = 0 + -29

Combine like terms: 0 + -29 = -29
-7x + x2 = -29

The x term is -7x.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7x + 12.25 + x2 = -29 + 12.25

Reorder the terms:
12.25 + -7x + x2 = -29 + 12.25

Combine like terms: -29 + 12.25 = -16.75
12.25 + -7x + x2 = -16.75

Factor a perfect square on the left side:
(x + -3.5)(x + -3.5) = -16.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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