5x^2-24x=-32

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Solution for 5x^2-24x=-32 equation:


Simplifying
5x2 + -24x = -32

Reorder the terms:
-24x + 5x2 = -32

Solving
-24x + 5x2 = -32

Solving for variable 'x'.

Reorder the terms:
32 + -24x + 5x2 = -32 + 32

Combine like terms: -32 + 32 = 0
32 + -24x + 5x2 = 0

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

Divide each side by '5'.
6.4 + -4.8x + x2 = 0

Move the constant term to the right:

Add '-6.4' to each side of the equation.
6.4 + -4.8x + -6.4 + x2 = 0 + -6.4

Reorder the terms:
6.4 + -6.4 + -4.8x + x2 = 0 + -6.4

Combine like terms: 6.4 + -6.4 = 0.0
0.0 + -4.8x + x2 = 0 + -6.4
-4.8x + x2 = 0 + -6.4

Combine like terms: 0 + -6.4 = -6.4
-4.8x + x2 = -6.4

The x term is -4.8x.  Take half its coefficient (-2.4).
Square it (5.76) and add it to both sides.

Add '5.76' to each side of the equation.
-4.8x + 5.76 + x2 = -6.4 + 5.76

Reorder the terms:
5.76 + -4.8x + x2 = -6.4 + 5.76

Combine like terms: -6.4 + 5.76 = -0.64
5.76 + -4.8x + x2 = -0.64

Factor a perfect square on the left side:
(x + -2.4)(x + -2.4) = -0.64

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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