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Simplifying 5(x2 + -10x + 125) = 0 Reorder the terms: 5(125 + -10x + x2) = 0 (125 * 5 + -10x * 5 + x2 * 5) = 0 (625 + -50x + 5x2) = 0 Solving 625 + -50x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(125 + -10x + x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(125 + -10x + x2)' equal to zero and attempt to solve: Simplifying 125 + -10x + x2 = 0 Solving 125 + -10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-125' to each side of the equation. 125 + -10x + -125 + x2 = 0 + -125 Reorder the terms: 125 + -125 + -10x + x2 = 0 + -125 Combine like terms: 125 + -125 = 0 0 + -10x + x2 = 0 + -125 -10x + x2 = 0 + -125 Combine like terms: 0 + -125 = -125 -10x + x2 = -125 The x term is -10x. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10x + 25 + x2 = -125 + 25 Reorder the terms: 25 + -10x + x2 = -125 + 25 Combine like terms: -125 + 25 = -100 25 + -10x + x2 = -100 Factor a perfect square on the left side: (x + -5)(x + -5) = -100 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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