8x^2=5(x-2)

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Solution for 8x^2=5(x-2) equation: 


Simplifying
8x2 = 5(x + -2)

Reorder the terms:
8x2 = 5(-2 + x)
8x2 = (-2 * 5 + x * 5)
8x2 = (-10 + 5x)

Solving
8x2 = -10 + 5x

Solving for variable 'x'.

Reorder the terms:
10 + -5x + 8x2 = -10 + 5x + 10 + -5x

Reorder the terms:
10 + -5x + 8x2 = -10 + 10 + 5x + -5x

Combine like terms: -10 + 10 = 0
10 + -5x + 8x2 = 0 + 5x + -5x
10 + -5x + 8x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
10 + -5x + 8x2 = 0

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

Divide each side by '8'.
1.25 + -0.625x + x2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + -0.625x + -1.25 + x2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + -0.625x + x2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + -0.625x + x2 = 0 + -1.25
-0.625x + x2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
-0.625x + x2 = -1.25

The x term is -0.625x.  Take half its coefficient (-0.3125).
Square it (0.09765625) and add it to both sides.

Add '0.09765625' to each side of the equation.
-0.625x + 0.09765625 + x2 = -1.25 + 0.09765625

Reorder the terms:
0.09765625 + -0.625x + x2 = -1.25 + 0.09765625

Combine like terms: -1.25 + 0.09765625 = -1.15234375
0.09765625 + -0.625x + x2 = -1.15234375

Factor a perfect square on the left side:
(x + -0.3125)(x + -0.3125) = -1.15234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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