2x^2+8x+52=0

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Solution for 2x^2+8x+52=0 equation:


Simplifying
2x2 + 8x + 52 = 0

Reorder the terms:
52 + 8x + 2x2 = 0

Solving
52 + 8x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(26 + 4x + x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(26 + 4x + x2)' equal to zero and attempt to solve: Simplifying 26 + 4x + x2 = 0 Solving 26 + 4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-26' to each side of the equation. 26 + 4x + -26 + x2 = 0 + -26 Reorder the terms: 26 + -26 + 4x + x2 = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 4x + x2 = 0 + -26 4x + x2 = 0 + -26 Combine like terms: 0 + -26 = -26 4x + x2 = -26 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = -26 + 4 Reorder the terms: 4 + 4x + x2 = -26 + 4 Combine like terms: -26 + 4 = -22 4 + 4x + x2 = -22 Factor a perfect square on the left side: (x + 2)(x + 2) = -22 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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