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

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


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

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

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

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

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

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

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

Solving
3 + -2x + 4x2 = 0

Solving for variable 'x'.

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

Divide each side by '4'.
0.75 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + -0.5x + -0.75 + x2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + -0.5x + x2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -0.5x + x2 = 0 + -0.75
-0.5x + x2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
-0.5x + x2 = -0.75

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -0.75 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -0.75 + 0.0625

Combine like terms: -0.75 + 0.0625 = -0.6875
0.0625 + -0.5x + x2 = -0.6875

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -0.6875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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