7x^2-24x=-32

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Solution for 7x^2-24x=-32 equation: 


Simplifying
7x2 + -24x = -32

Reorder the terms:
-24x + 7x2 = -32

Solving
-24x + 7x2 = -32

Solving for variable 'x'.

Reorder the terms:
32 + -24x + 7x2 = -32 + 32

Combine like terms: -32 + 32 = 0
32 + -24x + 7x2 = 0

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

Divide each side by '7'.
4.571428571 + -3.428571429x + x2 = 0

Move the constant term to the right:

Add '-4.571428571' to each side of the equation.
4.571428571 + -3.428571429x + -4.571428571 + x2 = 0 + -4.571428571

Reorder the terms:
4.571428571 + -4.571428571 + -3.428571429x + x2 = 0 + -4.571428571

Combine like terms: 4.571428571 + -4.571428571 = 0.000000000
0.000000000 + -3.428571429x + x2 = 0 + -4.571428571
-3.428571429x + x2 = 0 + -4.571428571

Combine like terms: 0 + -4.571428571 = -4.571428571
-3.428571429x + x2 = -4.571428571

The x term is -3.428571429x.  Take half its coefficient (-1.714285715).
Square it (2.938775513) and add it to both sides.

Add '2.938775513' to each side of the equation.
-3.428571429x + 2.938775513 + x2 = -4.571428571 + 2.938775513

Reorder the terms:
2.938775513 + -3.428571429x + x2 = -4.571428571 + 2.938775513

Combine like terms: -4.571428571 + 2.938775513 = -1.632653058
2.938775513 + -3.428571429x + x2 = -1.632653058

Factor a perfect square on the left side:
(x + -1.714285715)(x + -1.714285715) = -1.632653058

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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