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Simplifying 5x2 + 30x + 225 = 0 Reorder the terms: 225 + 30x + 5x2 = 0 Solving 225 + 30x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(45 + 6x + x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(45 + 6x + x2)' equal to zero and attempt to solve: Simplifying 45 + 6x + x2 = 0 Solving 45 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-45' to each side of the equation. 45 + 6x + -45 + x2 = 0 + -45 Reorder the terms: 45 + -45 + 6x + x2 = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 6x + x2 = 0 + -45 6x + x2 = 0 + -45 Combine like terms: 0 + -45 = -45 6x + x2 = -45 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 = -45 + 9 Reorder the terms: 9 + 6x + x2 = -45 + 9 Combine like terms: -45 + 9 = -36 9 + 6x + x2 = -36 Factor a perfect square on the left side: (x + 3)(x + 3) = -36 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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