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Simplifying 2x2 + -6x + 9 = -49 Reorder the terms: 9 + -6x + 2x2 = -49 Solving 9 + -6x + 2x2 = -49 Solving for variable 'x'. Reorder the terms: 9 + 49 + -6x + 2x2 = -49 + 49 Combine like terms: 9 + 49 = 58 58 + -6x + 2x2 = -49 + 49 Combine like terms: -49 + 49 = 0 58 + -6x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(29 + -3x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(29 + -3x + x2)' equal to zero and attempt to solve: Simplifying 29 + -3x + x2 = 0 Solving 29 + -3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-29' to each side of the equation. 29 + -3x + -29 + x2 = 0 + -29 Reorder the terms: 29 + -29 + -3x + x2 = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -3x + x2 = 0 + -29 -3x + x2 = 0 + -29 Combine like terms: 0 + -29 = -29 -3x + x2 = -29 The x term is -3x. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3x + 2.25 + x2 = -29 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -29 + 2.25 Combine like terms: -29 + 2.25 = -26.75 2.25 + -3x + x2 = -26.75 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -26.75 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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