-3x*x=-7x+9

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Solution for -3x*x=-7x+9 equation:


Simplifying
-3x * x = -7x + 9

Multiply x * x
-3x2 = -7x + 9

Reorder the terms:
-3x2 = 9 + -7x

Solving
-3x2 = 9 + -7x

Solving for variable 'x'.

Reorder the terms:
-9 + 7x + -3x2 = 9 + -7x + -9 + 7x

Reorder the terms:
-9 + 7x + -3x2 = 9 + -9 + -7x + 7x

Combine like terms: 9 + -9 = 0
-9 + 7x + -3x2 = 0 + -7x + 7x
-9 + 7x + -3x2 = -7x + 7x

Combine like terms: -7x + 7x = 0
-9 + 7x + -3x2 = 0

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

Divide each side by '-3'.
3 + -2.333333333x + x2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -2.333333333x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + -2.333333333x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2.333333333x + x2 = 0 + -3
-2.333333333x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-2.333333333x + x2 = -3

The x term is -2.333333333x.  Take half its coefficient (-1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
-2.333333333x + 1.361111112 + x2 = -3 + 1.361111112

Reorder the terms:
1.361111112 + -2.333333333x + x2 = -3 + 1.361111112

Combine like terms: -3 + 1.361111112 = -1.638888888
1.361111112 + -2.333333333x + x2 = -1.638888888

Factor a perfect square on the left side:
(x + -1.166666667)(x + -1.166666667) = -1.638888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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