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

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


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

Reorder the terms:
3(3 + 2x) = -5x(4x + -2)
(3 * 3 + 2x * 3) = -5x(4x + -2)
(9 + 6x) = -5x(4x + -2)

Reorder the terms:
9 + 6x = -5x(-2 + 4x)
9 + 6x = (-2 * -5x + 4x * -5x)
9 + 6x = (10x + -20x2)

Solving
9 + 6x = 10x + -20x2

Solving for variable 'x'.

Combine like terms: 6x + -10x = -4x
9 + -4x + 20x2 = 10x + -20x2 + -10x + 20x2

Reorder the terms:
9 + -4x + 20x2 = 10x + -10x + -20x2 + 20x2

Combine like terms: 10x + -10x = 0
9 + -4x + 20x2 = 0 + -20x2 + 20x2
9 + -4x + 20x2 = -20x2 + 20x2

Combine like terms: -20x2 + 20x2 = 0
9 + -4x + 20x2 = 0

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

Divide each side by '20'.
0.45 + -0.2x + x2 = 0

Move the constant term to the right:

Add '-0.45' to each side of the equation.
0.45 + -0.2x + -0.45 + x2 = 0 + -0.45

Reorder the terms:
0.45 + -0.45 + -0.2x + x2 = 0 + -0.45

Combine like terms: 0.45 + -0.45 = 0.00
0.00 + -0.2x + x2 = 0 + -0.45
-0.2x + x2 = 0 + -0.45

Combine like terms: 0 + -0.45 = -0.45
-0.2x + x2 = -0.45

The x term is -0.2x.  Take half its coefficient (-0.1).
Square it (0.01) and add it to both sides.

Add '0.01' to each side of the equation.
-0.2x + 0.01 + x2 = -0.45 + 0.01

Reorder the terms:
0.01 + -0.2x + x2 = -0.45 + 0.01

Combine like terms: -0.45 + 0.01 = -0.44
0.01 + -0.2x + x2 = -0.44

Factor a perfect square on the left side:
(x + -0.1)(x + -0.1) = -0.44

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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