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

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


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

Reorder the terms:
5x(4 + x) = 7(x + -2)
(4 * 5x + x * 5x) = 7(x + -2)
(20x + 5x2) = 7(x + -2)

Reorder the terms:
20x + 5x2 = 7(-2 + x)
20x + 5x2 = (-2 * 7 + x * 7)
20x + 5x2 = (-14 + 7x)

Solving
20x + 5x2 = -14 + 7x

Solving for variable 'x'.

Reorder the terms:
14 + 20x + -7x + 5x2 = -14 + 7x + 14 + -7x

Combine like terms: 20x + -7x = 13x
14 + 13x + 5x2 = -14 + 7x + 14 + -7x

Reorder the terms:
14 + 13x + 5x2 = -14 + 14 + 7x + -7x

Combine like terms: -14 + 14 = 0
14 + 13x + 5x2 = 0 + 7x + -7x
14 + 13x + 5x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
14 + 13x + 5x2 = 0

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

Divide each side by '5'.
2.8 + 2.6x + x2 = 0

Move the constant term to the right:

Add '-2.8' to each side of the equation.
2.8 + 2.6x + -2.8 + x2 = 0 + -2.8

Reorder the terms:
2.8 + -2.8 + 2.6x + x2 = 0 + -2.8

Combine like terms: 2.8 + -2.8 = 0.0
0.0 + 2.6x + x2 = 0 + -2.8
2.6x + x2 = 0 + -2.8

Combine like terms: 0 + -2.8 = -2.8
2.6x + x2 = -2.8

The x term is 2.6x.  Take half its coefficient (1.3).
Square it (1.69) and add it to both sides.

Add '1.69' to each side of the equation.
2.6x + 1.69 + x2 = -2.8 + 1.69

Reorder the terms:
1.69 + 2.6x + x2 = -2.8 + 1.69

Combine like terms: -2.8 + 1.69 = -1.11
1.69 + 2.6x + x2 = -1.11

Factor a perfect square on the left side:
(x + 1.3)(x + 1.3) = -1.11

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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