3x^2-5x+10=2x^2-x-10

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Solution for 3x^2-5x+10=2x^2-x-10 equation: 


Simplifying
3x2 + -5x + 10 = 2x2 + -1x + -10

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

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

Solving
10 + -5x + 3x2 = -10 + -1x + 2x2

Solving for variable 'x'.

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

Combine like terms: 10 + 10 = 20
20 + -5x + x + 3x2 + -2x2 = -10 + -1x + 2x2 + 10 + x + -2x2

Combine like terms: -5x + x = -4x
20 + -4x + 3x2 + -2x2 = -10 + -1x + 2x2 + 10 + x + -2x2

Combine like terms: 3x2 + -2x2 = 1x2
20 + -4x + 1x2 = -10 + -1x + 2x2 + 10 + x + -2x2

Reorder the terms:
20 + -4x + 1x2 = -10 + 10 + -1x + x + 2x2 + -2x2

Combine like terms: -10 + 10 = 0
20 + -4x + 1x2 = 0 + -1x + x + 2x2 + -2x2
20 + -4x + 1x2 = -1x + x + 2x2 + -2x2

Combine like terms: -1x + x = 0
20 + -4x + 1x2 = 0 + 2x2 + -2x2
20 + -4x + 1x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
20 + -4x + 1x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-20' to each side of the equation.
20 + -4x + -20 + x2 = 0 + -20

Reorder the terms:
20 + -20 + -4x + x2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -4x + x2 = 0 + -20
-4x + x2 = 0 + -20

Combine like terms: 0 + -20 = -20
-4x + x2 = -20

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -20 + 4

Reorder the terms:
4 + -4x + x2 = -20 + 4

Combine like terms: -20 + 4 = -16
4 + -4x + x2 = -16

Factor a perfect square on the left side:
(x + -2)(x + -2) = -16

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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