100x^2+48x+64=0

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Solution for 100x^2+48x+64=0 equation: 


Simplifying
100x2 + 48x + 64 = 0

Reorder the terms:
64 + 48x + 100x2 = 0

Solving
64 + 48x + 100x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(16 + 12x + 25x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(16 + 12x + 25x2)' equal to zero and attempt to solve:

Simplifying
16 + 12x + 25x2 = 0

Solving
16 + 12x + 25x2 = 0

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

Divide each side by '25'.
0.64 + 0.48x + x2 = 0

Move the constant term to the right:

Add '-0.64' to each side of the equation.
0.64 + 0.48x + -0.64 + x2 = 0 + -0.64

Reorder the terms:
0.64 + -0.64 + 0.48x + x2 = 0 + -0.64

Combine like terms: 0.64 + -0.64 = 0.00
0.00 + 0.48x + x2 = 0 + -0.64
0.48x + x2 = 0 + -0.64

Combine like terms: 0 + -0.64 = -0.64
0.48x + x2 = -0.64

The x term is 0.48x.  Take half its coefficient (0.24).
Square it (0.0576) and add it to both sides.

Add '0.0576' to each side of the equation.
0.48x + 0.0576 + x2 = -0.64 + 0.0576

Reorder the terms:
0.0576 + 0.48x + x2 = -0.64 + 0.0576

Combine like terms: -0.64 + 0.0576 = -0.5824
0.0576 + 0.48x + x2 = -0.5824

Factor a perfect square on the left side:
(x + 0.24)(x + 0.24) = -0.5824

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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