3x^2-2x+7=18x^2-12x+63

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Solution for 3x^2-2x+7=18x^2-12x+63 equation: 


Simplifying
3x2 + -2x + 7 = 18x2 + -12x + 63

Reorder the terms:
7 + -2x + 3x2 = 18x2 + -12x + 63

Reorder the terms:
7 + -2x + 3x2 = 63 + -12x + 18x2

Solving
7 + -2x + 3x2 = 63 + -12x + 18x2

Solving for variable 'x'.

Reorder the terms:
7 + -63 + -2x + 12x + 3x2 + -18x2 = 63 + -12x + 18x2 + -63 + 12x + -18x2

Combine like terms: 7 + -63 = -56
-56 + -2x + 12x + 3x2 + -18x2 = 63 + -12x + 18x2 + -63 + 12x + -18x2

Combine like terms: -2x + 12x = 10x
-56 + 10x + 3x2 + -18x2 = 63 + -12x + 18x2 + -63 + 12x + -18x2

Combine like terms: 3x2 + -18x2 = -15x2
-56 + 10x + -15x2 = 63 + -12x + 18x2 + -63 + 12x + -18x2

Reorder the terms:
-56 + 10x + -15x2 = 63 + -63 + -12x + 12x + 18x2 + -18x2

Combine like terms: 63 + -63 = 0
-56 + 10x + -15x2 = 0 + -12x + 12x + 18x2 + -18x2
-56 + 10x + -15x2 = -12x + 12x + 18x2 + -18x2

Combine like terms: -12x + 12x = 0
-56 + 10x + -15x2 = 0 + 18x2 + -18x2
-56 + 10x + -15x2 = 18x2 + -18x2

Combine like terms: 18x2 + -18x2 = 0
-56 + 10x + -15x2 = 0

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

Divide each side by '-15'.
3.733333333 + -0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-3.733333333' to each side of the equation.
3.733333333 + -0.6666666667x + -3.733333333 + x2 = 0 + -3.733333333

Reorder the terms:
3.733333333 + -3.733333333 + -0.6666666667x + x2 = 0 + -3.733333333

Combine like terms: 3.733333333 + -3.733333333 = 0.000000000
0.000000000 + -0.6666666667x + x2 = 0 + -3.733333333
-0.6666666667x + x2 = 0 + -3.733333333

Combine like terms: 0 + -3.733333333 = -3.733333333
-0.6666666667x + x2 = -3.733333333

The x term is -0.6666666667x.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667x + 0.1111111112 + x2 = -3.733333333 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = -3.733333333 + 0.1111111112

Combine like terms: -3.733333333 + 0.1111111112 = -3.6222222218
0.1111111112 + -0.6666666667x + x2 = -3.6222222218

Factor a perfect square on the left side:
(x + -0.3333333334)(x + -0.3333333334) = -3.6222222218

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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