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Simplifying 6x2 + 60x + 900 = 0 Reorder the terms: 900 + 60x + 6x2 = 0 Solving 900 + 60x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6'. 6(150 + 10x + x2) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(150 + 10x + x2)' equal to zero and attempt to solve: Simplifying 150 + 10x + x2 = 0 Solving 150 + 10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-150' to each side of the equation. 150 + 10x + -150 + x2 = 0 + -150 Reorder the terms: 150 + -150 + 10x + x2 = 0 + -150 Combine like terms: 150 + -150 = 0 0 + 10x + x2 = 0 + -150 10x + x2 = 0 + -150 Combine like terms: 0 + -150 = -150 10x + x2 = -150 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 = -150 + 25 Reorder the terms: 25 + 10x + x2 = -150 + 25 Combine like terms: -150 + 25 = -125 25 + 10x + x2 = -125 Factor a perfect square on the left side: (x + 5)(x + 5) = -125 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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