2(x^2+4)+5(x+2)-3=0

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Solution for 2(x^2+4)+5(x+2)-3=0 equation:


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

Reorder the terms:
2(4 + x2) + 5(x + 2) + -3 = 0
(4 * 2 + x2 * 2) + 5(x + 2) + -3 = 0
(8 + 2x2) + 5(x + 2) + -3 = 0

Reorder the terms:
8 + 2x2 + 5(2 + x) + -3 = 0
8 + 2x2 + (2 * 5 + x * 5) + -3 = 0
8 + 2x2 + (10 + 5x) + -3 = 0

Reorder the terms:
8 + 10 + -3 + 5x + 2x2 = 0

Combine like terms: 8 + 10 = 18
18 + -3 + 5x + 2x2 = 0

Combine like terms: 18 + -3 = 15
15 + 5x + 2x2 = 0

Solving
15 + 5x + 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 + 2.5x + x2 = 0

Move the constant term to the right:

Add '-7.5' to each side of the equation.
7.5 + 2.5x + -7.5 + x2 = 0 + -7.5

Reorder the terms:
7.5 + -7.5 + 2.5x + x2 = 0 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + 2.5x + x2 = 0 + -7.5
2.5x + x2 = 0 + -7.5

Combine like terms: 0 + -7.5 = -7.5
2.5x + x2 = -7.5

The x term is 2.5x.  Take half its coefficient (1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
2.5x + 1.5625 + x2 = -7.5 + 1.5625

Reorder the terms:
1.5625 + 2.5x + x2 = -7.5 + 1.5625

Combine like terms: -7.5 + 1.5625 = -5.9375
1.5625 + 2.5x + x2 = -5.9375

Factor a perfect square on the left side:
(x + 1.25)(x + 1.25) = -5.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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