x(-5x+2)=24

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Solution for x(-5x+2)=24 equation:


Simplifying
x(-5x + 2) = 24

Reorder the terms:
x(2 + -5x) = 24
(2 * x + -5x * x) = 24
(2x + -5x2) = 24

Solving
2x + -5x2 = 24

Solving for variable 'x'.

Reorder the terms:
-24 + 2x + -5x2 = 24 + -24

Combine like terms: 24 + -24 = 0
-24 + 2x + -5x2 = 0

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

Divide each side by '-5'.
4.8 + -0.4x + x2 = 0

Move the constant term to the right:

Add '-4.8' to each side of the equation.
4.8 + -0.4x + -4.8 + x2 = 0 + -4.8

Reorder the terms:
4.8 + -4.8 + -0.4x + x2 = 0 + -4.8

Combine like terms: 4.8 + -4.8 = 0.0
0.0 + -0.4x + x2 = 0 + -4.8
-0.4x + x2 = 0 + -4.8

Combine like terms: 0 + -4.8 = -4.8
-0.4x + x2 = -4.8

The x term is -0.4x.  Take half its coefficient (-0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
-0.4x + 0.04 + x2 = -4.8 + 0.04

Reorder the terms:
0.04 + -0.4x + x2 = -4.8 + 0.04

Combine like terms: -4.8 + 0.04 = -4.76
0.04 + -0.4x + x2 = -4.76

Factor a perfect square on the left side:
(x + -0.2)(x + -0.2) = -4.76

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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