2x(3-5x)=3

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


Simplifying
2x(3 + -5x) = 3
(3 * 2x + -5x * 2x) = 3
(6x + -10x2) = 3

Solving
6x + -10x2 = 3

Solving for variable 'x'.

Reorder the terms:
-3 + 6x + -10x2 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 6x + -10x2 = 0

Begin completing the square.  Divide all terms by
-10 the coefficient of the squared term: 

Divide each side by '-10'.
0.3 + -0.6x + x2 = 0.0

Move the constant term to the right:

Add '-0.3' to each side of the equation.
0.3 + -0.6x + -0.3 + x2 = 0.0 + -0.3

Reorder the terms:
0.3 + -0.3 + -0.6x + x2 = 0.0 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + -0.6x + x2 = 0.0 + -0.3
-0.6x + x2 = 0.0 + -0.3

Combine like terms: 0.0 + -0.3 = -0.3
-0.6x + x2 = -0.3

The x term is -0.6x.  Take half its coefficient (-0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
-0.6x + 0.09 + x2 = -0.3 + 0.09

Reorder the terms:
0.09 + -0.6x + x2 = -0.3 + 0.09

Combine like terms: -0.3 + 0.09 = -0.21
0.09 + -0.6x + x2 = -0.21

Factor a perfect square on the left side:
(x + -0.3)(x + -0.3) = -0.21

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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