(10x^2+2x+7)-(8x^2-8)=

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Solution for (10x^2+2x+7)-(8x^2-8)= equation:


Simplifying
(10x2 + 2x + 7) + -1(8x2 + -8) = 0

Reorder the terms:
(7 + 2x + 10x2) + -1(8x2 + -8) = 0

Remove parenthesis around (7 + 2x + 10x2)
7 + 2x + 10x2 + -1(8x2 + -8) = 0

Reorder the terms:
7 + 2x + 10x2 + -1(-8 + 8x2) = 0
7 + 2x + 10x2 + (-8 * -1 + 8x2 * -1) = 0
7 + 2x + 10x2 + (8 + -8x2) = 0

Reorder the terms:
7 + 8 + 2x + 10x2 + -8x2 = 0

Combine like terms: 7 + 8 = 15
15 + 2x + 10x2 + -8x2 = 0

Combine like terms: 10x2 + -8x2 = 2x2
15 + 2x + 2x2 = 0

Solving
15 + 2x + 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'.
7.5 + x + x2 = 0

Move the constant term to the right:

Add '-7.5' to each side of the equation.
7.5 + x + -7.5 + x2 = 0 + -7.5

Reorder the terms:
7.5 + -7.5 + x + x2 = 0 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + x + x2 = 0 + -7.5
x + x2 = 0 + -7.5

Combine like terms: 0 + -7.5 = -7.5
x + x2 = -7.5

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
 + 0.25 + x2 = -7.5 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = -7.5 + 0.25

Combine like terms: -7.5 + 0.25 = -7.25
1.25 + x2 = -7.25

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -7.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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