16x^2+34x+288=0

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Solution for 16x^2+34x+288=0 equation: 


Simplifying
16x2 + 34x + 288 = 0

Reorder the terms:
288 + 34x + 16x2 = 0

Solving
288 + 34x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(144 + 17x + 8x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(144 + 17x + 8x2)' equal to zero and attempt to solve:

Simplifying
144 + 17x + 8x2 = 0

Solving
144 + 17x + 8x2 = 0

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

Divide each side by '8'.
18 + 2.125x + x2 = 0

Move the constant term to the right:

Add '-18' to each side of the equation.
18 + 2.125x + -18 + x2 = 0 + -18

Reorder the terms:
18 + -18 + 2.125x + x2 = 0 + -18

Combine like terms: 18 + -18 = 0
0 + 2.125x + x2 = 0 + -18
2.125x + x2 = 0 + -18

Combine like terms: 0 + -18 = -18
2.125x + x2 = -18

The x term is 2.125x.  Take half its coefficient (1.0625).
Square it (1.12890625) and add it to both sides.

Add '1.12890625' to each side of the equation.
2.125x + 1.12890625 + x2 = -18 + 1.12890625

Reorder the terms:
1.12890625 + 2.125x + x2 = -18 + 1.12890625

Combine like terms: -18 + 1.12890625 = -16.87109375
1.12890625 + 2.125x + x2 = -16.87109375

Factor a perfect square on the left side:
(x + 1.0625)(x + 1.0625) = -16.87109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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