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Simplifying -8(x2 + -28x + 220) = 0 Reorder the terms: -8(220 + -28x + x2) = 0 (220 * -8 + -28x * -8 + x2 * -8) = 0 (-1760 + 224x + -8x2) = 0 Solving -1760 + 224x + -8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8'. 8(-220 + 28x + -1x2) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-220 + 28x + -1x2)' equal to zero and attempt to solve: Simplifying -220 + 28x + -1x2 = 0 Solving -220 + 28x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 220 + -28x + x2 = 0 Move the constant term to the right: Add '-220' to each side of the equation. 220 + -28x + -220 + x2 = 0 + -220 Reorder the terms: 220 + -220 + -28x + x2 = 0 + -220 Combine like terms: 220 + -220 = 0 0 + -28x + x2 = 0 + -220 -28x + x2 = 0 + -220 Combine like terms: 0 + -220 = -220 -28x + x2 = -220 The x term is -28x. Take half its coefficient (-14). Square it (196) and add it to both sides. Add '196' to each side of the equation. -28x + 196 + x2 = -220 + 196 Reorder the terms: 196 + -28x + x2 = -220 + 196 Combine like terms: -220 + 196 = -24 196 + -28x + x2 = -24 Factor a perfect square on the left side: (x + -14)(x + -14) = -24 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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