(7x+2)+(4x^2-x)-(3x^2-8)=

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Solution for (7x+2)+(4x^2-x)-(3x^2-8)= equation:


Simplifying
(7x + 2) + (4x2 + -1x) + -1(3x2 + -8) = 0

Reorder the terms:
(2 + 7x) + (4x2 + -1x) + -1(3x2 + -8) = 0

Remove parenthesis around (2 + 7x)
2 + 7x + (4x2 + -1x) + -1(3x2 + -8) = 0

Reorder the terms:
2 + 7x + (-1x + 4x2) + -1(3x2 + -8) = 0

Remove parenthesis around (-1x + 4x2)
2 + 7x + -1x + 4x2 + -1(3x2 + -8) = 0

Reorder the terms:
2 + 7x + -1x + 4x2 + -1(-8 + 3x2) = 0
2 + 7x + -1x + 4x2 + (-8 * -1 + 3x2 * -1) = 0
2 + 7x + -1x + 4x2 + (8 + -3x2) = 0

Reorder the terms:
2 + 8 + 7x + -1x + 4x2 + -3x2 = 0

Combine like terms: 2 + 8 = 10
10 + 7x + -1x + 4x2 + -3x2 = 0

Combine like terms: 7x + -1x = 6x
10 + 6x + 4x2 + -3x2 = 0

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

Solving
10 + 6x + 1x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + 6x + -10 + x2 = 0 + -10

Reorder the terms:
10 + -10 + 6x + x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 6x + x2 = 0 + -10
6x + x2 = 0 + -10

Combine like terms: 0 + -10 = -10
6x + x2 = -10

The x term is 6x.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6x + 9 + x2 = -10 + 9

Reorder the terms:
9 + 6x + x2 = -10 + 9

Combine like terms: -10 + 9 = -1
9 + 6x + x2 = -1

Factor a perfect square on the left side:
(x + 3)(x + 3) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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