(14x^2+7x+10)+(-9x^2-3x+1)=

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Solution for (14x^2+7x+10)+(-9x^2-3x+1)= equation: 


Simplifying
(14x2 + 7x + 10) + (-9x2 + -3x + 1) = 0

Reorder the terms:
(10 + 7x + 14x2) + (-9x2 + -3x + 1) = 0

Remove parenthesis around (10 + 7x + 14x2)
10 + 7x + 14x2 + (-9x2 + -3x + 1) = 0

Reorder the terms:
10 + 7x + 14x2 + (1 + -3x + -9x2) = 0

Remove parenthesis around (1 + -3x + -9x2)
10 + 7x + 14x2 + 1 + -3x + -9x2 = 0

Reorder the terms:
10 + 1 + 7x + -3x + 14x2 + -9x2 = 0

Combine like terms: 10 + 1 = 11
11 + 7x + -3x + 14x2 + -9x2 = 0

Combine like terms: 7x + -3x = 4x
11 + 4x + 14x2 + -9x2 = 0

Combine like terms: 14x2 + -9x2 = 5x2
11 + 4x + 5x2 = 0

Solving
11 + 4x + 5x2 = 0

Solving for variable 'x'.

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

Divide each side by '5'.
2.2 + 0.8x + x2 = 0

Move the constant term to the right:

Add '-2.2' to each side of the equation.
2.2 + 0.8x + -2.2 + x2 = 0 + -2.2

Reorder the terms:
2.2 + -2.2 + 0.8x + x2 = 0 + -2.2

Combine like terms: 2.2 + -2.2 = 0.0
0.0 + 0.8x + x2 = 0 + -2.2
0.8x + x2 = 0 + -2.2

Combine like terms: 0 + -2.2 = -2.2
0.8x + x2 = -2.2

The x term is 0.8x.  Take half its coefficient (0.4).
Square it (0.16) and add it to both sides.

Add '0.16' to each side of the equation.
0.8x + 0.16 + x2 = -2.2 + 0.16

Reorder the terms:
0.16 + 0.8x + x2 = -2.2 + 0.16

Combine like terms: -2.2 + 0.16 = -2.04
0.16 + 0.8x + x2 = -2.04

Factor a perfect square on the left side:
(x + 0.4)(x + 0.4) = -2.04

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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