(5x^2-x+2)-(x^2+6x-8)=0

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Solution for (5x^2-x+2)-(x^2+6x-8)=0 equation:


Simplifying
(5x2 + -1x + 2) + -1(x2 + 6x + -8) = 0

Reorder the terms:
(2 + -1x + 5x2) + -1(x2 + 6x + -8) = 0

Remove parenthesis around (2 + -1x + 5x2)
2 + -1x + 5x2 + -1(x2 + 6x + -8) = 0

Reorder the terms:
2 + -1x + 5x2 + -1(-8 + 6x + x2) = 0
2 + -1x + 5x2 + (-8 * -1 + 6x * -1 + x2 * -1) = 0
2 + -1x + 5x2 + (8 + -6x + -1x2) = 0

Reorder the terms:
2 + 8 + -1x + -6x + 5x2 + -1x2 = 0

Combine like terms: 2 + 8 = 10
10 + -1x + -6x + 5x2 + -1x2 = 0

Combine like terms: -1x + -6x = -7x
10 + -7x + 5x2 + -1x2 = 0

Combine like terms: 5x2 + -1x2 = 4x2
10 + -7x + 4x2 = 0

Solving
10 + -7x + 4x2 = 0

Solving for variable 'x'.

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

Divide each side by '4'.
2.5 + -1.75x + x2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -1.75x + -2.5 + x2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -1.75x + x2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -1.75x + x2 = 0 + -2.5
-1.75x + x2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-1.75x + x2 = -2.5

The x term is -1.75x.  Take half its coefficient (-0.875).
Square it (0.765625) and add it to both sides.

Add '0.765625' to each side of the equation.
-1.75x + 0.765625 + x2 = -2.5 + 0.765625

Reorder the terms:
0.765625 + -1.75x + x2 = -2.5 + 0.765625

Combine like terms: -2.5 + 0.765625 = -1.734375
0.765625 + -1.75x + x2 = -1.734375

Factor a perfect square on the left side:
(x + -0.875)(x + -0.875) = -1.734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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