(3x^2-7x-1)+(-2x^2+4x+5)=

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Solution for (3x^2-7x-1)+(-2x^2+4x+5)= equation:


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

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

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

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

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

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

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

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

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

Solving
4 + -3x + 1x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -3x + -4 + x2 = 0 + -4

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

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

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

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -4 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -4 + 2.25

Combine like terms: -4 + 2.25 = -1.75
2.25 + -3x + x2 = -1.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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