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Simplifying -2x2 + -20x + -148 = 0 Reorder the terms: -148 + -20x + -2x2 = 0 Solving -148 + -20x + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-2'. -2(74 + 10x + x2) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(74 + 10x + x2)' equal to zero and attempt to solve: Simplifying 74 + 10x + x2 = 0 Solving 74 + 10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-74' to each side of the equation. 74 + 10x + -74 + x2 = 0 + -74 Reorder the terms: 74 + -74 + 10x + x2 = 0 + -74 Combine like terms: 74 + -74 = 0 0 + 10x + x2 = 0 + -74 10x + x2 = 0 + -74 Combine like terms: 0 + -74 = -74 10x + x2 = -74 The x term is 10x. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10x + 25 + x2 = -74 + 25 Reorder the terms: 25 + 10x + x2 = -74 + 25 Combine like terms: -74 + 25 = -49 25 + 10x + x2 = -49 Factor a perfect square on the left side: (x + 5)(x + 5) = -49 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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