x(5x+4)=2x^2-16+7

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Solution for x(5x+4)=2x^2-16+7 equation: 


Simplifying
x(5x + 4) = 2x2 + -16 + 7

Reorder the terms:
x(4 + 5x) = 2x2 + -16 + 7
(4 * x + 5x * x) = 2x2 + -16 + 7
(4x + 5x2) = 2x2 + -16 + 7

Reorder the terms:
4x + 5x2 = -16 + 7 + 2x2

Combine like terms: -16 + 7 = -9
4x + 5x2 = -9 + 2x2

Solving
4x + 5x2 = -9 + 2x2

Solving for variable 'x'.

Reorder the terms:
9 + 4x + 5x2 + -2x2 = -9 + 2x2 + 9 + -2x2

Combine like terms: 5x2 + -2x2 = 3x2
9 + 4x + 3x2 = -9 + 2x2 + 9 + -2x2

Reorder the terms:
9 + 4x + 3x2 = -9 + 9 + 2x2 + -2x2

Combine like terms: -9 + 9 = 0
9 + 4x + 3x2 = 0 + 2x2 + -2x2
9 + 4x + 3x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
9 + 4x + 3x2 = 0

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

Divide each side by '3'.
3 + 1.333333333x + x2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + 1.333333333x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + 1.333333333x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 1.333333333x + x2 = 0 + -3
1.333333333x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
1.333333333x + x2 = -3

The x term is 1.333333333x.  Take half its coefficient (0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
1.333333333x + 0.4444444442 + x2 = -3 + 0.4444444442

Reorder the terms:
0.4444444442 + 1.333333333x + x2 = -3 + 0.4444444442

Combine like terms: -3 + 0.4444444442 = -2.5555555558
0.4444444442 + 1.333333333x + x2 = -2.5555555558

Factor a perfect square on the left side:
(x + 0.6666666665)(x + 0.6666666665) = -2.5555555558

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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