5(-x+2)=-3(7x+2)8x

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Solution for 5(-x+2)=-3(7x+2)8x equation: 


Simplifying
5(-1x + 2) = -3(7x + 2) * 8x

Reorder the terms:
5(2 + -1x) = -3(7x + 2) * 8x
(2 * 5 + -1x * 5) = -3(7x + 2) * 8x
(10 + -5x) = -3(7x + 2) * 8x

Reorder the terms:
10 + -5x = -3(2 + 7x) * 8x

Reorder the terms for easier multiplication:
10 + -5x = -3 * 8x(2 + 7x)

Multiply -3 * 8
10 + -5x = -24x(2 + 7x)
10 + -5x = (2 * -24x + 7x * -24x)
10 + -5x = (-48x + -168x2)

Solving
10 + -5x = -48x + -168x2

Solving for variable 'x'.

Combine like terms: -5x + 48x = 43x
10 + 43x + 168x2 = -48x + -168x2 + 48x + 168x2

Reorder the terms:
10 + 43x + 168x2 = -48x + 48x + -168x2 + 168x2

Combine like terms: -48x + 48x = 0
10 + 43x + 168x2 = 0 + -168x2 + 168x2
10 + 43x + 168x2 = -168x2 + 168x2

Combine like terms: -168x2 + 168x2 = 0
10 + 43x + 168x2 = 0

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

Divide each side by '168'.
0.05952380952 + 0.255952381x + x2 = 0

Move the constant term to the right:

Add '-0.05952380952' to each side of the equation.
0.05952380952 + 0.255952381x + -0.05952380952 + x2 = 0 + -0.05952380952

Reorder the terms:
0.05952380952 + -0.05952380952 + 0.255952381x + x2 = 0 + -0.05952380952

Combine like terms: 0.05952380952 + -0.05952380952 = 0.00000000000
0.00000000000 + 0.255952381x + x2 = 0 + -0.05952380952
0.255952381x + x2 = 0 + -0.05952380952

Combine like terms: 0 + -0.05952380952 = -0.05952380952
0.255952381x + x2 = -0.05952380952

The x term is 0.255952381x.  Take half its coefficient (0.1279761905).
Square it (0.01637790533) and add it to both sides.

Add '0.01637790533' to each side of the equation.
0.255952381x + 0.01637790533 + x2 = -0.05952380952 + 0.01637790533

Reorder the terms:
0.01637790533 + 0.255952381x + x2 = -0.05952380952 + 0.01637790533

Combine like terms: -0.05952380952 + 0.01637790533 = -0.04314590419
0.01637790533 + 0.255952381x + x2 = -0.04314590419

Factor a perfect square on the left side:
(x + 0.1279761905)(x + 0.1279761905) = -0.04314590419

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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