(5x^2+4x-1)+(3x^2-6x+10)=

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Solution for (5x^2+4x-1)+(3x^2-6x+10)= equation:


Simplifying
(5x2 + 4x + -1) + (3x2 + -6x + 10) = 0

Reorder the terms:
(-1 + 4x + 5x2) + (3x2 + -6x + 10) = 0

Remove parenthesis around (-1 + 4x + 5x2)
-1 + 4x + 5x2 + (3x2 + -6x + 10) = 0

Reorder the terms:
-1 + 4x + 5x2 + (10 + -6x + 3x2) = 0

Remove parenthesis around (10 + -6x + 3x2)
-1 + 4x + 5x2 + 10 + -6x + 3x2 = 0

Reorder the terms:
-1 + 10 + 4x + -6x + 5x2 + 3x2 = 0

Combine like terms: -1 + 10 = 9
9 + 4x + -6x + 5x2 + 3x2 = 0

Combine like terms: 4x + -6x = -2x
9 + -2x + 5x2 + 3x2 = 0

Combine like terms: 5x2 + 3x2 = 8x2
9 + -2x + 8x2 = 0

Solving
9 + -2x + 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 + -0.25x + x2 = 0

Move the constant term to the right:

Add '-1.125' to each side of the equation.
1.125 + -0.25x + -1.125 + x2 = 0 + -1.125

Reorder the terms:
1.125 + -1.125 + -0.25x + x2 = 0 + -1.125

Combine like terms: 1.125 + -1.125 = 0.000
0.000 + -0.25x + x2 = 0 + -1.125
-0.25x + x2 = 0 + -1.125

Combine like terms: 0 + -1.125 = -1.125
-0.25x + x2 = -1.125

The x term is -0.25x.  Take half its coefficient (-0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
-0.25x + 0.015625 + x2 = -1.125 + 0.015625

Reorder the terms:
0.015625 + -0.25x + x2 = -1.125 + 0.015625

Combine like terms: -1.125 + 0.015625 = -1.109375
0.015625 + -0.25x + x2 = -1.109375

Factor a perfect square on the left side:
(x + -0.125)(x + -0.125) = -1.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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