=7x^2-2x+12

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


Simplifying
0 = 7x2 + -2x + 12

Reorder the terms:
0 = 12 + -2x + 7x2

Solving
0 = 12 + -2x + 7x2

Solving for variable 'x'.

Combine like terms: 0 + -12 = -12
-12 + 2x + -7x2 = 12 + -2x + 7x2 + -12 + 2x + -7x2

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

Combine like terms: 12 + -12 = 0
-12 + 2x + -7x2 = 0 + -2x + 2x + 7x2 + -7x2
-12 + 2x + -7x2 = -2x + 2x + 7x2 + -7x2

Combine like terms: -2x + 2x = 0
-12 + 2x + -7x2 = 0 + 7x2 + -7x2
-12 + 2x + -7x2 = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
-12 + 2x + -7x2 = 0

Begin completing the square.  Divide all terms by
-7 the coefficient of the squared term: 

Divide each side by '-7'.
1.714285714 + -0.2857142857x + x2 = 0

Move the constant term to the right:

Add '-1.714285714' to each side of the equation.
1.714285714 + -0.2857142857x + -1.714285714 + x2 = 0 + -1.714285714

Reorder the terms:
1.714285714 + -1.714285714 + -0.2857142857x + x2 = 0 + -1.714285714

Combine like terms: 1.714285714 + -1.714285714 = 0.000000000
0.000000000 + -0.2857142857x + x2 = 0 + -1.714285714
-0.2857142857x + x2 = 0 + -1.714285714

Combine like terms: 0 + -1.714285714 = -1.714285714
-0.2857142857x + x2 = -1.714285714

The x term is -0.2857142857x.  Take half its coefficient (-0.1428571429).
Square it (0.02040816328) and add it to both sides.

Add '0.02040816328' to each side of the equation.
-0.2857142857x + 0.02040816328 + x2 = -1.714285714 + 0.02040816328

Reorder the terms:
0.02040816328 + -0.2857142857x + x2 = -1.714285714 + 0.02040816328

Combine like terms: -1.714285714 + 0.02040816328 = -1.69387755072
0.02040816328 + -0.2857142857x + x2 = -1.69387755072

Factor a perfect square on the left side:
(x + -0.1428571429)(x + -0.1428571429) = -1.69387755072

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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