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

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


Simplifying
3x(x + 2) + -1(5x + -3) = 0

Reorder the terms:
3x(2 + x) + -1(5x + -3) = 0
(2 * 3x + x * 3x) + -1(5x + -3) = 0
(6x + 3x2) + -1(5x + -3) = 0

Reorder the terms:
6x + 3x2 + -1(-3 + 5x) = 0
6x + 3x2 + (-3 * -1 + 5x * -1) = 0
6x + 3x2 + (3 + -5x) = 0

Reorder the terms:
3 + 6x + -5x + 3x2 = 0

Combine like terms: 6x + -5x = 1x
3 + 1x + 3x2 = 0

Solving
3 + 1x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
1 + 0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + 0.3333333333x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + 0.3333333333x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 0.3333333333x + x2 = 0 + -1
0.3333333333x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
0.3333333333x + x2 = -1

The x term is 0.3333333333x.  Take half its coefficient (0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
0.3333333333x + 0.02777777779 + x2 = -1 + 0.02777777779

Reorder the terms:
0.02777777779 + 0.3333333333x + x2 = -1 + 0.02777777779

Combine like terms: -1 + 0.02777777779 = -0.97222222221
0.02777777779 + 0.3333333333x + x2 = -0.97222222221

Factor a perfect square on the left side:
(x + 0.1666666667)(x + 0.1666666667) = -0.97222222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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