(5x-2)(3x+4)=-12

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Solution for (5x-2)(3x+4)=-12 equation: 


Simplifying
(5x + -2)(3x + 4) = -12

Reorder the terms:
(-2 + 5x)(3x + 4) = -12

Reorder the terms:
(-2 + 5x)(4 + 3x) = -12

Multiply (-2 + 5x) * (4 + 3x)
(-2(4 + 3x) + 5x * (4 + 3x)) = -12
((4 * -2 + 3x * -2) + 5x * (4 + 3x)) = -12
((-8 + -6x) + 5x * (4 + 3x)) = -12
(-8 + -6x + (4 * 5x + 3x * 5x)) = -12
(-8 + -6x + (20x + 15x2)) = -12

Combine like terms: -6x + 20x = 14x
(-8 + 14x + 15x2) = -12

Solving
-8 + 14x + 15x2 = -12

Solving for variable 'x'.

Reorder the terms:
-8 + 12 + 14x + 15x2 = -12 + 12

Combine like terms: -8 + 12 = 4
4 + 14x + 15x2 = -12 + 12

Combine like terms: -12 + 12 = 0
4 + 14x + 15x2 = 0

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

Divide each side by '15'.
0.2666666667 + 0.9333333333x + x2 = 0

Move the constant term to the right:

Add '-0.2666666667' to each side of the equation.
0.2666666667 + 0.9333333333x + -0.2666666667 + x2 = 0 + -0.2666666667

Reorder the terms:
0.2666666667 + -0.2666666667 + 0.9333333333x + x2 = 0 + -0.2666666667

Combine like terms: 0.2666666667 + -0.2666666667 = 0.0000000000
0.0000000000 + 0.9333333333x + x2 = 0 + -0.2666666667
0.9333333333x + x2 = 0 + -0.2666666667

Combine like terms: 0 + -0.2666666667 = -0.2666666667
0.9333333333x + x2 = -0.2666666667

The x term is 0.9333333333x.  Take half its coefficient (0.4666666667).
Square it (0.2177777778) and add it to both sides.

Add '0.2177777778' to each side of the equation.
0.9333333333x + 0.2177777778 + x2 = -0.2666666667 + 0.2177777778

Reorder the terms:
0.2177777778 + 0.9333333333x + x2 = -0.2666666667 + 0.2177777778

Combine like terms: -0.2666666667 + 0.2177777778 = -0.0488888889
0.2177777778 + 0.9333333333x + x2 = -0.0488888889

Factor a perfect square on the left side:
(x + 0.4666666667)(x + 0.4666666667) = -0.0488888889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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