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Simplifying 6x2 + 84x + 1764 = 0 Reorder the terms: 1764 + 84x + 6x2 = 0 Solving 1764 + 84x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6'. 6(294 + 14x + x2) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(294 + 14x + x2)' equal to zero and attempt to solve: Simplifying 294 + 14x + x2 = 0 Solving 294 + 14x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-294' to each side of the equation. 294 + 14x + -294 + x2 = 0 + -294 Reorder the terms: 294 + -294 + 14x + x2 = 0 + -294 Combine like terms: 294 + -294 = 0 0 + 14x + x2 = 0 + -294 14x + x2 = 0 + -294 Combine like terms: 0 + -294 = -294 14x + x2 = -294 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 = -294 + 49 Reorder the terms: 49 + 14x + x2 = -294 + 49 Combine like terms: -294 + 49 = -245 49 + 14x + x2 = -245 Factor a perfect square on the left side: (x + 7)(x + 7) = -245 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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