3x^2+5x-23=8x^2-4x-7

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Solution for 3x^2+5x-23=8x^2-4x-7 equation: 


Simplifying
3x2 + 5x + -23 = 8x2 + -4x + -7

Reorder the terms:
-23 + 5x + 3x2 = 8x2 + -4x + -7

Reorder the terms:
-23 + 5x + 3x2 = -7 + -4x + 8x2

Solving
-23 + 5x + 3x2 = -7 + -4x + 8x2

Solving for variable 'x'.

Reorder the terms:
-23 + 7 + 5x + 4x + 3x2 + -8x2 = -7 + -4x + 8x2 + 7 + 4x + -8x2

Combine like terms: -23 + 7 = -16
-16 + 5x + 4x + 3x2 + -8x2 = -7 + -4x + 8x2 + 7 + 4x + -8x2

Combine like terms: 5x + 4x = 9x
-16 + 9x + 3x2 + -8x2 = -7 + -4x + 8x2 + 7 + 4x + -8x2

Combine like terms: 3x2 + -8x2 = -5x2
-16 + 9x + -5x2 = -7 + -4x + 8x2 + 7 + 4x + -8x2

Reorder the terms:
-16 + 9x + -5x2 = -7 + 7 + -4x + 4x + 8x2 + -8x2

Combine like terms: -7 + 7 = 0
-16 + 9x + -5x2 = 0 + -4x + 4x + 8x2 + -8x2
-16 + 9x + -5x2 = -4x + 4x + 8x2 + -8x2

Combine like terms: -4x + 4x = 0
-16 + 9x + -5x2 = 0 + 8x2 + -8x2
-16 + 9x + -5x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-16 + 9x + -5x2 = 0

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
3.2 + -1.8x + x2 = 0

Move the constant term to the right:

Add '-3.2' to each side of the equation.
3.2 + -1.8x + -3.2 + x2 = 0 + -3.2

Reorder the terms:
3.2 + -3.2 + -1.8x + x2 = 0 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0
0.0 + -1.8x + x2 = 0 + -3.2
-1.8x + x2 = 0 + -3.2

Combine like terms: 0 + -3.2 = -3.2
-1.8x + x2 = -3.2

The x term is -1.8x.  Take half its coefficient (-0.9).
Square it (0.81) and add it to both sides.

Add '0.81' to each side of the equation.
-1.8x + 0.81 + x2 = -3.2 + 0.81

Reorder the terms:
0.81 + -1.8x + x2 = -3.2 + 0.81

Combine like terms: -3.2 + 0.81 = -2.39
0.81 + -1.8x + x2 = -2.39

Factor a perfect square on the left side:
(x + -0.9)(x + -0.9) = -2.39

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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