2(x^2-3x+9)=0

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Solution for 2(x^2-3x+9)=0 equation:


Simplifying
2(x2 + -3x + 9) = 0

Reorder the terms:
2(9 + -3x + x2) = 0
(9 * 2 + -3x * 2 + x2 * 2) = 0
(18 + -6x + 2x2) = 0

Solving
18 + -6x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + -3x + x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(9 + -3x + x2)' equal to zero and attempt to solve: Simplifying 9 + -3x + x2 = 0 Solving 9 + -3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + -3x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + -3x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -3x + x2 = 0 + -9 -3x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 -3x + x2 = -9 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 = -9 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -9 + 2.25 Combine like terms: -9 + 2.25 = -6.75 2.25 + -3x + x2 = -6.75 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -6.75 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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