3x(x+3)-(x-1)=(x+5)(x-2)

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Solution for 3x(x+3)-(x-1)=(x+5)(x-2) equation: 


Simplifying
3x(x + 3) + -1(x + -1) = (x + 5)(x + -2)

Reorder the terms:
3x(3 + x) + -1(x + -1) = (x + 5)(x + -2)
(3 * 3x + x * 3x) + -1(x + -1) = (x + 5)(x + -2)
(9x + 3x2) + -1(x + -1) = (x + 5)(x + -2)

Reorder the terms:
9x + 3x2 + -1(-1 + x) = (x + 5)(x + -2)
9x + 3x2 + (-1 * -1 + x * -1) = (x + 5)(x + -2)
9x + 3x2 + (1 + -1x) = (x + 5)(x + -2)

Reorder the terms:
1 + 9x + -1x + 3x2 = (x + 5)(x + -2)

Combine like terms: 9x + -1x = 8x
1 + 8x + 3x2 = (x + 5)(x + -2)

Reorder the terms:
1 + 8x + 3x2 = (5 + x)(x + -2)

Reorder the terms:
1 + 8x + 3x2 = (5 + x)(-2 + x)

Multiply (5 + x) * (-2 + x)
1 + 8x + 3x2 = (5(-2 + x) + x(-2 + x))
1 + 8x + 3x2 = ((-2 * 5 + x * 5) + x(-2 + x))
1 + 8x + 3x2 = ((-10 + 5x) + x(-2 + x))
1 + 8x + 3x2 = (-10 + 5x + (-2 * x + x * x))
1 + 8x + 3x2 = (-10 + 5x + (-2x + x2))

Combine like terms: 5x + -2x = 3x
1 + 8x + 3x2 = (-10 + 3x + x2)

Solving
1 + 8x + 3x2 = -10 + 3x + x2

Solving for variable 'x'.

Reorder the terms:
1 + 10 + 8x + -3x + 3x2 + -1x2 = -10 + 3x + x2 + 10 + -3x + -1x2

Combine like terms: 1 + 10 = 11
11 + 8x + -3x + 3x2 + -1x2 = -10 + 3x + x2 + 10 + -3x + -1x2

Combine like terms: 8x + -3x = 5x
11 + 5x + 3x2 + -1x2 = -10 + 3x + x2 + 10 + -3x + -1x2

Combine like terms: 3x2 + -1x2 = 2x2
11 + 5x + 2x2 = -10 + 3x + x2 + 10 + -3x + -1x2

Reorder the terms:
11 + 5x + 2x2 = -10 + 10 + 3x + -3x + x2 + -1x2

Combine like terms: -10 + 10 = 0
11 + 5x + 2x2 = 0 + 3x + -3x + x2 + -1x2
11 + 5x + 2x2 = 3x + -3x + x2 + -1x2

Combine like terms: 3x + -3x = 0
11 + 5x + 2x2 = 0 + x2 + -1x2
11 + 5x + 2x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
11 + 5x + 2x2 = 0

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

Divide each side by '2'.
5.5 + 2.5x + x2 = 0

Move the constant term to the right:

Add '-5.5' to each side of the equation.
5.5 + 2.5x + -5.5 + x2 = 0 + -5.5

Reorder the terms:
5.5 + -5.5 + 2.5x + x2 = 0 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + 2.5x + x2 = 0 + -5.5
2.5x + x2 = 0 + -5.5

Combine like terms: 0 + -5.5 = -5.5
2.5x + x2 = -5.5

The x term is 2.5x.  Take half its coefficient (1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
2.5x + 1.5625 + x2 = -5.5 + 1.5625

Reorder the terms:
1.5625 + 2.5x + x2 = -5.5 + 1.5625

Combine like terms: -5.5 + 1.5625 = -3.9375
1.5625 + 2.5x + x2 = -3.9375

Factor a perfect square on the left side:
(x + 1.25)(x + 1.25) = -3.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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