(5x-3)(6-3x)=(5x+3)

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Solution for (5x-3)(6-3x)=(5x+3) equation: 


Simplifying
(5x + -3)(6 + -3x) = (5x + 3)

Reorder the terms:
(-3 + 5x)(6 + -3x) = (5x + 3)

Multiply (-3 + 5x) * (6 + -3x)
(-3(6 + -3x) + 5x * (6 + -3x)) = (5x + 3)
((6 * -3 + -3x * -3) + 5x * (6 + -3x)) = (5x + 3)
((-18 + 9x) + 5x * (6 + -3x)) = (5x + 3)
(-18 + 9x + (6 * 5x + -3x * 5x)) = (5x + 3)
(-18 + 9x + (30x + -15x2)) = (5x + 3)

Combine like terms: 9x + 30x = 39x
(-18 + 39x + -15x2) = (5x + 3)

Reorder the terms:
-18 + 39x + -15x2 = (3 + 5x)

Remove parenthesis around (3 + 5x)
-18 + 39x + -15x2 = 3 + 5x

Solving
-18 + 39x + -15x2 = 3 + 5x

Solving for variable 'x'.

Reorder the terms:
-18 + -3 + 39x + -5x + -15x2 = 3 + 5x + -3 + -5x

Combine like terms: -18 + -3 = -21
-21 + 39x + -5x + -15x2 = 3 + 5x + -3 + -5x

Combine like terms: 39x + -5x = 34x
-21 + 34x + -15x2 = 3 + 5x + -3 + -5x

Reorder the terms:
-21 + 34x + -15x2 = 3 + -3 + 5x + -5x

Combine like terms: 3 + -3 = 0
-21 + 34x + -15x2 = 0 + 5x + -5x
-21 + 34x + -15x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-21 + 34x + -15x2 = 0

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

Divide each side by '-15'.
1.4 + -2.266666667x + x2 = 0

Move the constant term to the right:

Add '-1.4' to each side of the equation.
1.4 + -2.266666667x + -1.4 + x2 = 0 + -1.4

Reorder the terms:
1.4 + -1.4 + -2.266666667x + x2 = 0 + -1.4

Combine like terms: 1.4 + -1.4 = 0.0
0.0 + -2.266666667x + x2 = 0 + -1.4
-2.266666667x + x2 = 0 + -1.4

Combine like terms: 0 + -1.4 = -1.4
-2.266666667x + x2 = -1.4

The x term is -2.266666667x.  Take half its coefficient (-1.133333334).
Square it (1.284444446) and add it to both sides.

Add '1.284444446' to each side of the equation.
-2.266666667x + 1.284444446 + x2 = -1.4 + 1.284444446

Reorder the terms:
1.284444446 + -2.266666667x + x2 = -1.4 + 1.284444446

Combine like terms: -1.4 + 1.284444446 = -0.115555554
1.284444446 + -2.266666667x + x2 = -0.115555554

Factor a perfect square on the left side:
(x + -1.133333334)(x + -1.133333334) = -0.115555554

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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