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Simplifying 5(x2 + 5x + 25) = 0 Reorder the terms: 5(25 + 5x + x2) = 0 (25 * 5 + 5x * 5 + x2 * 5) = 0 (125 + 25x + 5x2) = 0 Solving 125 + 25x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(25 + 5x + x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(25 + 5x + x2)' equal to zero and attempt to solve: Simplifying 25 + 5x + x2 = 0 Solving 25 + 5x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-25' to each side of the equation. 25 + 5x + -25 + x2 = 0 + -25 Reorder the terms: 25 + -25 + 5x + x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 5x + x2 = 0 + -25 5x + x2 = 0 + -25 Combine like terms: 0 + -25 = -25 5x + x2 = -25 The x term is 5x. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5x + 6.25 + x2 = -25 + 6.25 Reorder the terms: 6.25 + 5x + x2 = -25 + 6.25 Combine like terms: -25 + 6.25 = -18.75 6.25 + 5x + x2 = -18.75 Factor a perfect square on the left side: (x + 2.5)(x + 2.5) = -18.75 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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