16x^2+80x+384=

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Solution for 16x^2+80x+384= equation:


Simplifying
16x2 + 80x + 384 = 0

Reorder the terms:
384 + 80x + 16x2 = 0

Solving
384 + 80x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '16'.
16(24 + 5x + x2) = 0

Ignore the factor 16.

Subproblem 1

Set the factor '(24 + 5x + x2)' equal to zero and attempt to solve: Simplifying 24 + 5x + x2 = 0 Solving 24 + 5x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-24' to each side of the equation. 24 + 5x + -24 + x2 = 0 + -24 Reorder the terms: 24 + -24 + 5x + x2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 5x + x2 = 0 + -24 5x + x2 = 0 + -24 Combine like terms: 0 + -24 = -24 5x + x2 = -24 The x term is 5x. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5x + 6.25 + x2 = -24 + 6.25 Reorder the terms: 6.25 + 5x + x2 = -24 + 6.25 Combine like terms: -24 + 6.25 = -17.75 6.25 + 5x + x2 = -17.75 Factor a perfect square on the left side: (x + 2.5)(x + 2.5) = -17.75 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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