7x^2-10x=-12

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Solution for 7x^2-10x=-12 equation:


Simplifying
7x2 + -10x = -12

Reorder the terms:
-10x + 7x2 = -12

Solving
-10x + 7x2 = -12

Solving for variable 'x'.

Reorder the terms:
12 + -10x + 7x2 = -12 + 12

Combine like terms: -12 + 12 = 0
12 + -10x + 7x2 = 0

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

Divide each side by '7'.
1.714285714 + -1.428571429x + x2 = 0

Move the constant term to the right:

Add '-1.714285714' to each side of the equation.
1.714285714 + -1.428571429x + -1.714285714 + x2 = 0 + -1.714285714

Reorder the terms:
1.714285714 + -1.714285714 + -1.428571429x + x2 = 0 + -1.714285714

Combine like terms: 1.714285714 + -1.714285714 = 0.000000000
0.000000000 + -1.428571429x + x2 = 0 + -1.714285714
-1.428571429x + x2 = 0 + -1.714285714

Combine like terms: 0 + -1.714285714 = -1.714285714
-1.428571429x + x2 = -1.714285714

The x term is -1.428571429x.  Take half its coefficient (-0.7142857145).
Square it (0.5102040819) and add it to both sides.

Add '0.5102040819' to each side of the equation.
-1.428571429x + 0.5102040819 + x2 = -1.714285714 + 0.5102040819

Reorder the terms:
0.5102040819 + -1.428571429x + x2 = -1.714285714 + 0.5102040819

Combine like terms: -1.714285714 + 0.5102040819 = -1.2040816321
0.5102040819 + -1.428571429x + x2 = -1.2040816321

Factor a perfect square on the left side:
(x + -0.7142857145)(x + -0.7142857145) = -1.2040816321

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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