6x^2-18x+30=0

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Solution for 6x^2-18x+30=0 equation:


Simplifying
6x2 + -18x + 30 = 0

Reorder the terms:
30 + -18x + 6x2 = 0

Solving
30 + -18x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(5 + -3x + x2) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(5 + -3x + x2)' equal to zero and attempt to solve: Simplifying 5 + -3x + x2 = 0 Solving 5 + -3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-5' to each side of the equation. 5 + -3x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + -3x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x + x2 = 0 + -5 -3x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -3x + x2 = -5 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 = -5 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -5 + 2.25 Combine like terms: -5 + 2.25 = -2.75 2.25 + -3x + x2 = -2.75 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -2.75 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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