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Simplifying 9x2 + 54x + 729 + 36x2 + -144x + 5184 = 0 Reorder the terms: 729 + 5184 + 54x + -144x + 9x2 + 36x2 = 0 Combine like terms: 729 + 5184 = 5913 5913 + 54x + -144x + 9x2 + 36x2 = 0 Combine like terms: 54x + -144x = -90x 5913 + -90x + 9x2 + 36x2 = 0 Combine like terms: 9x2 + 36x2 = 45x2 5913 + -90x + 45x2 = 0 Solving 5913 + -90x + 45x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '9'. 9(657 + -10x + 5x2) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(657 + -10x + 5x2)' equal to zero and attempt to solve: Simplifying 657 + -10x + 5x2 = 0 Solving 657 + -10x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 131.4 + -2x + x2 = 0 Move the constant term to the right: Add '-131.4' to each side of the equation. 131.4 + -2x + -131.4 + x2 = 0 + -131.4 Reorder the terms: 131.4 + -131.4 + -2x + x2 = 0 + -131.4 Combine like terms: 131.4 + -131.4 = 0.0 0.0 + -2x + x2 = 0 + -131.4 -2x + x2 = 0 + -131.4 Combine like terms: 0 + -131.4 = -131.4 -2x + x2 = -131.4 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -131.4 + 1 Reorder the terms: 1 + -2x + x2 = -131.4 + 1 Combine like terms: -131.4 + 1 = -130.4 1 + -2x + x2 = -130.4 Factor a perfect square on the left side: (x + -1)(x + -1) = -130.4 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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