2x^2+18x+66=0

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Solution for 2x^2+18x+66=0 equation:


Simplifying
2x2 + 18x + 66 = 0

Reorder the terms:
66 + 18x + 2x2 = 0

Solving
66 + 18x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(33 + 9x + x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(33 + 9x + x2)' equal to zero and attempt to solve: Simplifying 33 + 9x + x2 = 0 Solving 33 + 9x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-33' to each side of the equation. 33 + 9x + -33 + x2 = 0 + -33 Reorder the terms: 33 + -33 + 9x + x2 = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 9x + x2 = 0 + -33 9x + x2 = 0 + -33 Combine like terms: 0 + -33 = -33 9x + x2 = -33 The x term is 9x. Take half its coefficient (4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. 9x + 20.25 + x2 = -33 + 20.25 Reorder the terms: 20.25 + 9x + x2 = -33 + 20.25 Combine like terms: -33 + 20.25 = -12.75 20.25 + 9x + x2 = -12.75 Factor a perfect square on the left side: (x + 4.5)(x + 4.5) = -12.75 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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