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Simplifying 9x2 = 18x + -27 Reorder the terms: 9x2 = -27 + 18x Solving 9x2 = -27 + 18x Solving for variable 'x'. Reorder the terms: 27 + -18x + 9x2 = -27 + 18x + 27 + -18x Reorder the terms: 27 + -18x + 9x2 = -27 + 27 + 18x + -18x Combine like terms: -27 + 27 = 0 27 + -18x + 9x2 = 0 + 18x + -18x 27 + -18x + 9x2 = 18x + -18x Combine like terms: 18x + -18x = 0 27 + -18x + 9x2 = 0 Factor out the Greatest Common Factor (GCF), '9'. 9(3 + -2x + x2) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(3 + -2x + x2)' equal to zero and attempt to solve: Simplifying 3 + -2x + x2 = 0 Solving 3 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-3' to each side of the equation. 3 + -2x + -3 + x2 = 0 + -3 Reorder the terms: 3 + -3 + -2x + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x + x2 = 0 + -3 -2x + x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -2x + x2 = -3 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 = -3 + 1 Reorder the terms: 1 + -2x + x2 = -3 + 1 Combine like terms: -3 + 1 = -2 1 + -2x + x2 = -2 Factor a perfect square on the left side: (x + -1)(x + -1) = -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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