5x^2=-21-7x

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Solution for 5x^2=-21-7x equation:


Simplifying
5x2 = -21 + -7x

Solving
5x2 = -21 + -7x

Solving for variable 'x'.

Reorder the terms:
21 + 7x + 5x2 = -21 + -7x + 21 + 7x

Reorder the terms:
21 + 7x + 5x2 = -21 + 21 + -7x + 7x

Combine like terms: -21 + 21 = 0
21 + 7x + 5x2 = 0 + -7x + 7x
21 + 7x + 5x2 = -7x + 7x

Combine like terms: -7x + 7x = 0
21 + 7x + 5x2 = 0

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

Divide each side by '5'.
4.2 + 1.4x + x2 = 0

Move the constant term to the right:

Add '-4.2' to each side of the equation.
4.2 + 1.4x + -4.2 + x2 = 0 + -4.2

Reorder the terms:
4.2 + -4.2 + 1.4x + x2 = 0 + -4.2

Combine like terms: 4.2 + -4.2 = 0.0
0.0 + 1.4x + x2 = 0 + -4.2
1.4x + x2 = 0 + -4.2

Combine like terms: 0 + -4.2 = -4.2
1.4x + x2 = -4.2

The x term is 1.4x.  Take half its coefficient (0.7).
Square it (0.49) and add it to both sides.

Add '0.49' to each side of the equation.
1.4x + 0.49 + x2 = -4.2 + 0.49

Reorder the terms:
0.49 + 1.4x + x2 = -4.2 + 0.49

Combine like terms: -4.2 + 0.49 = -3.71
0.49 + 1.4x + x2 = -3.71

Factor a perfect square on the left side:
(x + 0.7)(x + 0.7) = -3.71

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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