(3x+5)(x-1)=2x^2+2-12

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Solution for (3x+5)(x-1)=2x^2+2-12 equation: 


Simplifying
(3x + 5)(x + -1) = 2x2 + 2 + -12

Reorder the terms:
(5 + 3x)(x + -1) = 2x2 + 2 + -12

Reorder the terms:
(5 + 3x)(-1 + x) = 2x2 + 2 + -12

Multiply (5 + 3x) * (-1 + x)
(5(-1 + x) + 3x * (-1 + x)) = 2x2 + 2 + -12
((-1 * 5 + x * 5) + 3x * (-1 + x)) = 2x2 + 2 + -12
((-5 + 5x) + 3x * (-1 + x)) = 2x2 + 2 + -12
(-5 + 5x + (-1 * 3x + x * 3x)) = 2x2 + 2 + -12
(-5 + 5x + (-3x + 3x2)) = 2x2 + 2 + -12

Combine like terms: 5x + -3x = 2x
(-5 + 2x + 3x2) = 2x2 + 2 + -12

Reorder the terms:
-5 + 2x + 3x2 = 2 + -12 + 2x2

Combine like terms: 2 + -12 = -10
-5 + 2x + 3x2 = -10 + 2x2

Solving
-5 + 2x + 3x2 = -10 + 2x2

Solving for variable 'x'.

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

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

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

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

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

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

Begin completing the square.

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + 2x + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + 2x + x2 = 0 + -5

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

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

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = -5 + 1

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

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

Factor a perfect square on the left side:
(x + 1)(x + 1) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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