(7x^2-x+2)+(-5x^2+4x+3)=

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Solution for (7x^2-x+2)+(-5x^2+4x+3)= equation:


Simplifying
(7x2 + -1x + 2) + (-5x2 + 4x + 3) = 0

Reorder the terms:
(2 + -1x + 7x2) + (-5x2 + 4x + 3) = 0

Remove parenthesis around (2 + -1x + 7x2)
2 + -1x + 7x2 + (-5x2 + 4x + 3) = 0

Reorder the terms:
2 + -1x + 7x2 + (3 + 4x + -5x2) = 0

Remove parenthesis around (3 + 4x + -5x2)
2 + -1x + 7x2 + 3 + 4x + -5x2 = 0

Reorder the terms:
2 + 3 + -1x + 4x + 7x2 + -5x2 = 0

Combine like terms: 2 + 3 = 5
5 + -1x + 4x + 7x2 + -5x2 = 0

Combine like terms: -1x + 4x = 3x
5 + 3x + 7x2 + -5x2 = 0

Combine like terms: 7x2 + -5x2 = 2x2
5 + 3x + 2x2 = 0

Solving
5 + 3x + 2x2 = 0

Solving for variable 'x'.

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

Divide each side by '2'.
2.5 + 1.5x + x2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + 1.5x + -2.5 + x2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + 1.5x + x2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 1.5x + x2 = 0 + -2.5
1.5x + x2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
1.5x + x2 = -2.5

The x term is 1.5x.  Take half its coefficient (0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
1.5x + 0.5625 + x2 = -2.5 + 0.5625

Reorder the terms:
0.5625 + 1.5x + x2 = -2.5 + 0.5625

Combine like terms: -2.5 + 0.5625 = -1.9375
0.5625 + 1.5x + x2 = -1.9375

Factor a perfect square on the left side:
(x + 0.75)(x + 0.75) = -1.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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