2x^2+2x+8+4x=0

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Solution for 2x^2+2x+8+4x=0 equation:


Simplifying
2x2 + 2x + 8 + 4x = 0

Reorder the terms:
8 + 2x + 4x + 2x2 = 0

Combine like terms: 2x + 4x = 6x
8 + 6x + 2x2 = 0

Solving
8 + 6x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + 3x + x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(4 + 3x + x2)' equal to zero and attempt to solve: Simplifying 4 + 3x + x2 = 0 Solving 4 + 3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-4' to each side of the equation. 4 + 3x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + 3x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x + x2 = 0 + -4 3x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 3x + x2 = -4 The x term is 3x. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3x + 2.25 + x2 = -4 + 2.25 Reorder the terms: 2.25 + 3x + x2 = -4 + 2.25 Combine like terms: -4 + 2.25 = -1.75 2.25 + 3x + x2 = -1.75 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = -1.75 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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