3x^2-45x+600=0

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Solution for 3x^2-45x+600=0 equation:


Simplifying
3x2 + -45x + 600 = 0

Reorder the terms:
600 + -45x + 3x2 = 0

Solving
600 + -45x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(200 + -15x + x2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(200 + -15x + x2)' equal to zero and attempt to solve: Simplifying 200 + -15x + x2 = 0 Solving 200 + -15x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-200' to each side of the equation. 200 + -15x + -200 + x2 = 0 + -200 Reorder the terms: 200 + -200 + -15x + x2 = 0 + -200 Combine like terms: 200 + -200 = 0 0 + -15x + x2 = 0 + -200 -15x + x2 = 0 + -200 Combine like terms: 0 + -200 = -200 -15x + x2 = -200 The x term is -15x. Take half its coefficient (-7.5). Square it (56.25) and add it to both sides. Add '56.25' to each side of the equation. -15x + 56.25 + x2 = -200 + 56.25 Reorder the terms: 56.25 + -15x + x2 = -200 + 56.25 Combine like terms: -200 + 56.25 = -143.75 56.25 + -15x + x2 = -143.75 Factor a perfect square on the left side: (x + -7.5)(x + -7.5) = -143.75 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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