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Simplifying -3x2 + -84x + -888 = 0 Reorder the terms: -888 + -84x + -3x2 = 0 Solving -888 + -84x + -3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-3'. -3(296 + 28x + x2) = 0 Ignore the factor -3.Subproblem 1
Set the factor '(296 + 28x + x2)' equal to zero and attempt to solve: Simplifying 296 + 28x + x2 = 0 Solving 296 + 28x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-296' to each side of the equation. 296 + 28x + -296 + x2 = 0 + -296 Reorder the terms: 296 + -296 + 28x + x2 = 0 + -296 Combine like terms: 296 + -296 = 0 0 + 28x + x2 = 0 + -296 28x + x2 = 0 + -296 Combine like terms: 0 + -296 = -296 28x + x2 = -296 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 = -296 + 196 Reorder the terms: 196 + 28x + x2 = -296 + 196 Combine like terms: -296 + 196 = -100 196 + 28x + x2 = -100 Factor a perfect square on the left side: (x + 14)(x + 14) = -100 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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