3(x^2-14x+49)=-14

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Solution for 3(x^2-14x+49)=-14 equation: 


Simplifying
3(x2 + -14x + 49) = -14

Reorder the terms:
3(49 + -14x + x2) = -14
(49 * 3 + -14x * 3 + x2 * 3) = -14
(147 + -42x + 3x2) = -14

Solving
147 + -42x + 3x2 = -14

Solving for variable 'x'.

Reorder the terms:
147 + 14 + -42x + 3x2 = -14 + 14

Combine like terms: 147 + 14 = 161
161 + -42x + 3x2 = -14 + 14

Combine like terms: -14 + 14 = 0
161 + -42x + 3x2 = 0

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

Divide each side by '3'.
53.66666667 + -14x + x2 = 0

Move the constant term to the right:

Add '-53.66666667' to each side of the equation.
53.66666667 + -14x + -53.66666667 + x2 = 0 + -53.66666667

Reorder the terms:
53.66666667 + -53.66666667 + -14x + x2 = 0 + -53.66666667

Combine like terms: 53.66666667 + -53.66666667 = 0.00000000
0.00000000 + -14x + x2 = 0 + -53.66666667
-14x + x2 = 0 + -53.66666667

Combine like terms: 0 + -53.66666667 = -53.66666667
-14x + x2 = -53.66666667

The x term is -14x.  Take half its coefficient (-7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
-14x + 49 + x2 = -53.66666667 + 49

Reorder the terms:
49 + -14x + x2 = -53.66666667 + 49

Combine like terms: -53.66666667 + 49 = -4.66666667
49 + -14x + x2 = -4.66666667

Factor a perfect square on the left side:
(x + -7)(x + -7) = -4.66666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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