4x^2-7x+8=4x-2

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Solution for 4x^2-7x+8=4x-2 equation:


Simplifying
4x2 + -7x + 8 = 4x + -2

Reorder the terms:
8 + -7x + 4x2 = 4x + -2

Reorder the terms:
8 + -7x + 4x2 = -2 + 4x

Solving
8 + -7x + 4x2 = -2 + 4x

Solving for variable 'x'.

Reorder the terms:
8 + 2 + -7x + -4x + 4x2 = -2 + 4x + 2 + -4x

Combine like terms: 8 + 2 = 10
10 + -7x + -4x + 4x2 = -2 + 4x + 2 + -4x

Combine like terms: -7x + -4x = -11x
10 + -11x + 4x2 = -2 + 4x + 2 + -4x

Reorder the terms:
10 + -11x + 4x2 = -2 + 2 + 4x + -4x

Combine like terms: -2 + 2 = 0
10 + -11x + 4x2 = 0 + 4x + -4x
10 + -11x + 4x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -11x + 4x2 = 0

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

Divide each side by '4'.
2.5 + -2.75x + x2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -2.75x + -2.5 + x2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -2.75x + x2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -2.75x + x2 = 0 + -2.5
-2.75x + x2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-2.75x + x2 = -2.5

The x term is -2.75x.  Take half its coefficient (-1.375).
Square it (1.890625) and add it to both sides.

Add '1.890625' to each side of the equation.
-2.75x + 1.890625 + x2 = -2.5 + 1.890625

Reorder the terms:
1.890625 + -2.75x + x2 = -2.5 + 1.890625

Combine like terms: -2.5 + 1.890625 = -0.609375
1.890625 + -2.75x + x2 = -0.609375

Factor a perfect square on the left side:
(x + -1.375)(x + -1.375) = -0.609375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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