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Simplifying 3x2 + -12x + 147 = 0 Reorder the terms: 147 + -12x + 3x2 = 0 Solving 147 + -12x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(49 + -4x + x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(49 + -4x + x2)' equal to zero and attempt to solve: Simplifying 49 + -4x + x2 = 0 Solving 49 + -4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-49' to each side of the equation. 49 + -4x + -49 + x2 = 0 + -49 Reorder the terms: 49 + -49 + -4x + x2 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -4x + x2 = 0 + -49 -4x + x2 = 0 + -49 Combine like terms: 0 + -49 = -49 -4x + x2 = -49 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -49 + 4 Reorder the terms: 4 + -4x + x2 = -49 + 4 Combine like terms: -49 + 4 = -45 4 + -4x + x2 = -45 Factor a perfect square on the left side: (x + -2)(x + -2) = -45 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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