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Simplifying 9x2 + -72x + 162 = 0 Reorder the terms: 162 + -72x + 9x2 = 0 Solving 162 + -72x + 9x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '9'. 9(18 + -8x + x2) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(18 + -8x + x2)' equal to zero and attempt to solve: Simplifying 18 + -8x + x2 = 0 Solving 18 + -8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-18' to each side of the equation. 18 + -8x + -18 + x2 = 0 + -18 Reorder the terms: 18 + -18 + -8x + x2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -8x + x2 = 0 + -18 -8x + x2 = 0 + -18 Combine like terms: 0 + -18 = -18 -8x + x2 = -18 The x term is -8x. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x + 16 + x2 = -18 + 16 Reorder the terms: 16 + -8x + x2 = -18 + 16 Combine like terms: -18 + 16 = -2 16 + -8x + x2 = -2 Factor a perfect square on the left side: (x + -4)(x + -4) = -2 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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