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Simplifying 3x2 + -42x + 147 + 9 = 0 Reorder the terms: 147 + 9 + -42x + 3x2 = 0 Combine like terms: 147 + 9 = 156 156 + -42x + 3x2 = 0 Solving 156 + -42x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(52 + -14x + x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(52 + -14x + x2)' equal to zero and attempt to solve: Simplifying 52 + -14x + x2 = 0 Solving 52 + -14x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-52' to each side of the equation. 52 + -14x + -52 + x2 = 0 + -52 Reorder the terms: 52 + -52 + -14x + x2 = 0 + -52 Combine like terms: 52 + -52 = 0 0 + -14x + x2 = 0 + -52 -14x + x2 = 0 + -52 Combine like terms: 0 + -52 = -52 -14x + x2 = -52 The x term is -14x. Take half its coefficient (-7). Square it (49) and add it to both sides. Add '49' to each side of the equation. -14x + 49 + x2 = -52 + 49 Reorder the terms: 49 + -14x + x2 = -52 + 49 Combine like terms: -52 + 49 = -3 49 + -14x + x2 = -3 Factor a perfect square on the left side: (x + -7)(x + -7) = -3 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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