3x(x-1)+15=7

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Solution for 3x(x-1)+15=7 equation:


Simplifying
3x(x + -1) + 15 = 7

Reorder the terms:
3x(-1 + x) + 15 = 7
(-1 * 3x + x * 3x) + 15 = 7
(-3x + 3x2) + 15 = 7

Reorder the terms:
15 + -3x + 3x2 = 7

Solving
15 + -3x + 3x2 = 7

Solving for variable 'x'.

Reorder the terms:
15 + -7 + -3x + 3x2 = 7 + -7

Combine like terms: 15 + -7 = 8
8 + -3x + 3x2 = 7 + -7

Combine like terms: 7 + -7 = 0
8 + -3x + 3x2 = 0

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

Divide each side by '3'.
2.666666667 + -1x + x2 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + -1x + -2.666666667 + x2 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + -1x + x2 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + -1x + x2 = 0 + -2.666666667
-1x + x2 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
-1x + x2 = -2.666666667

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -2.666666667 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -2.666666667 + 0.25

Combine like terms: -2.666666667 + 0.25 = -2.416666667
0.25 + -1x + x2 = -2.416666667

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -2.416666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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