-16x^2+30x-4=16

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Solution for -16x^2+30x-4=16 equation: 


Simplifying
-16x2 + 30x + -4 = 16

Reorder the terms:
-4 + 30x + -16x2 = 16

Solving
-4 + 30x + -16x2 = 16

Solving for variable 'x'.

Reorder the terms:
-4 + -16 + 30x + -16x2 = 16 + -16

Combine like terms: -4 + -16 = -20
-20 + 30x + -16x2 = 16 + -16

Combine like terms: 16 + -16 = 0
-20 + 30x + -16x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + 15x + -8x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-10 + 15x + -8x2)' equal to zero and attempt to solve:

Simplifying
-10 + 15x + -8x2 = 0

Solving
-10 + 15x + -8x2 = 0

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

Divide each side by '-8'.
1.25 + -1.875x + x2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + -1.875x + -1.25 + x2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + -1.875x + x2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + -1.875x + x2 = 0 + -1.25
-1.875x + x2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
-1.875x + x2 = -1.25

The x term is -1.875x.  Take half its coefficient (-0.9375).
Square it (0.87890625) and add it to both sides.

Add '0.87890625' to each side of the equation.
-1.875x + 0.87890625 + x2 = -1.25 + 0.87890625

Reorder the terms:
0.87890625 + -1.875x + x2 = -1.25 + 0.87890625

Combine like terms: -1.25 + 0.87890625 = -0.37109375
0.87890625 + -1.875x + x2 = -0.37109375

Factor a perfect square on the left side:
(x + -0.9375)(x + -0.9375) = -0.37109375

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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