16x^2+42x+70=0

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Solution for 16x^2+42x+70=0 equation: 


Simplifying
16x2 + 42x + 70 = 0

Reorder the terms:
70 + 42x + 16x2 = 0

Solving
70 + 42x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(35 + 21x + 8x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(35 + 21x + 8x2)' equal to zero and attempt to solve:

Simplifying
35 + 21x + 8x2 = 0

Solving
35 + 21x + 8x2 = 0

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

Divide each side by '8'.
4.375 + 2.625x + x2 = 0

Move the constant term to the right:

Add '-4.375' to each side of the equation.
4.375 + 2.625x + -4.375 + x2 = 0 + -4.375

Reorder the terms:
4.375 + -4.375 + 2.625x + x2 = 0 + -4.375

Combine like terms: 4.375 + -4.375 = 0.000
0.000 + 2.625x + x2 = 0 + -4.375
2.625x + x2 = 0 + -4.375

Combine like terms: 0 + -4.375 = -4.375
2.625x + x2 = -4.375

The x term is 2.625x.  Take half its coefficient (1.3125).
Square it (1.72265625) and add it to both sides.

Add '1.72265625' to each side of the equation.
2.625x + 1.72265625 + x2 = -4.375 + 1.72265625

Reorder the terms:
1.72265625 + 2.625x + x2 = -4.375 + 1.72265625

Combine like terms: -4.375 + 1.72265625 = -2.65234375
1.72265625 + 2.625x + x2 = -2.65234375

Factor a perfect square on the left side:
(x + 1.3125)(x + 1.3125) = -2.65234375

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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