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Simplifying 3x(x + -2) = -9 Reorder the terms: 3x(-2 + x) = -9 (-2 * 3x + x * 3x) = -9 (-6x + 3x2) = -9 Solving -6x + 3x2 = -9 Solving for variable 'x'. Reorder the terms: 9 + -6x + 3x2 = -9 + 9 Combine like terms: -9 + 9 = 0 9 + -6x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(3 + -2x + x2) = 0 Ignore the factor 3.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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