5x^2-30x+125=0

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Solution for 5x^2-30x+125=0 equation:


Simplifying
5x2 + -30x + 125 = 0

Reorder the terms:
125 + -30x + 5x2 = 0

Solving
125 + -30x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(25 + -6x + x2) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(25 + -6x + x2)' equal to zero and attempt to solve: Simplifying 25 + -6x + x2 = 0 Solving 25 + -6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-25' to each side of the equation. 25 + -6x + -25 + x2 = 0 + -25 Reorder the terms: 25 + -25 + -6x + x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -6x + x2 = 0 + -25 -6x + x2 = 0 + -25 Combine like terms: 0 + -25 = -25 -6x + x2 = -25 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -25 + 9 Reorder the terms: 9 + -6x + x2 = -25 + 9 Combine like terms: -25 + 9 = -16 9 + -6x + x2 = -16 Factor a perfect square on the left side: (x + -3)(x + -3) = -16 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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