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Simplifying 14x2 + 196x + 6720 = 0 Reorder the terms: 6720 + 196x + 14x2 = 0 Solving 6720 + 196x + 14x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '14'. 14(480 + 14x + x2) = 0 Ignore the factor 14.Subproblem 1
Set the factor '(480 + 14x + x2)' equal to zero and attempt to solve: Simplifying 480 + 14x + x2 = 0 Solving 480 + 14x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-480' to each side of the equation. 480 + 14x + -480 + x2 = 0 + -480 Reorder the terms: 480 + -480 + 14x + x2 = 0 + -480 Combine like terms: 480 + -480 = 0 0 + 14x + x2 = 0 + -480 14x + x2 = 0 + -480 Combine like terms: 0 + -480 = -480 14x + x2 = -480 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 = -480 + 49 Reorder the terms: 49 + 14x + x2 = -480 + 49 Combine like terms: -480 + 49 = -431 49 + 14x + x2 = -431 Factor a perfect square on the left side: (x + 7)(x + 7) = -431 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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