(5x^2-3x+11)-(-3x^2-4x+2)=0

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Solution for (5x^2-3x+11)-(-3x^2-4x+2)=0 equation: 


Simplifying
(5x2 + -3x + 11) + -1(-3x2 + -4x + 2) = 0

Reorder the terms:
(11 + -3x + 5x2) + -1(-3x2 + -4x + 2) = 0

Remove parenthesis around (11 + -3x + 5x2)
11 + -3x + 5x2 + -1(-3x2 + -4x + 2) = 0

Reorder the terms:
11 + -3x + 5x2 + -1(2 + -4x + -3x2) = 0
11 + -3x + 5x2 + (2 * -1 + -4x * -1 + -3x2 * -1) = 0
11 + -3x + 5x2 + (-2 + 4x + 3x2) = 0

Reorder the terms:
11 + -2 + -3x + 4x + 5x2 + 3x2 = 0

Combine like terms: 11 + -2 = 9
9 + -3x + 4x + 5x2 + 3x2 = 0

Combine like terms: -3x + 4x = 1x
9 + 1x + 5x2 + 3x2 = 0

Combine like terms: 5x2 + 3x2 = 8x2
9 + 1x + 8x2 = 0

Solving
9 + 1x + 8x2 = 0

Solving for variable 'x'.

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

Divide each side by '8'.
1.125 + 0.125x + x2 = 0

Move the constant term to the right:

Add '-1.125' to each side of the equation.
1.125 + 0.125x + -1.125 + x2 = 0 + -1.125

Reorder the terms:
1.125 + -1.125 + 0.125x + x2 = 0 + -1.125

Combine like terms: 1.125 + -1.125 = 0.000
0.000 + 0.125x + x2 = 0 + -1.125
0.125x + x2 = 0 + -1.125

Combine like terms: 0 + -1.125 = -1.125
0.125x + x2 = -1.125

The x term is 0.125x.  Take half its coefficient (0.0625).
Square it (0.00390625) and add it to both sides.

Add '0.00390625' to each side of the equation.
0.125x + 0.00390625 + x2 = -1.125 + 0.00390625

Reorder the terms:
0.00390625 + 0.125x + x2 = -1.125 + 0.00390625

Combine like terms: -1.125 + 0.00390625 = -1.12109375
0.00390625 + 0.125x + x2 = -1.12109375

Factor a perfect square on the left side:
(x + 0.0625)(x + 0.0625) = -1.12109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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