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Simplifying 8x2 + -80x + 300 = 0 Reorder the terms: 300 + -80x + 8x2 = 0 Solving 300 + -80x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(75 + -20x + 2x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(75 + -20x + 2x2)' equal to zero and attempt to solve: Simplifying 75 + -20x + 2x2 = 0 Solving 75 + -20x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 37.5 + -10x + x2 = 0 Move the constant term to the right: Add '-37.5' to each side of the equation. 37.5 + -10x + -37.5 + x2 = 0 + -37.5 Reorder the terms: 37.5 + -37.5 + -10x + x2 = 0 + -37.5 Combine like terms: 37.5 + -37.5 = 0.0 0.0 + -10x + x2 = 0 + -37.5 -10x + x2 = 0 + -37.5 Combine like terms: 0 + -37.5 = -37.5 -10x + x2 = -37.5 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 = -37.5 + 25 Reorder the terms: 25 + -10x + x2 = -37.5 + 25 Combine like terms: -37.5 + 25 = -12.5 25 + -10x + x2 = -12.5 Factor a perfect square on the left side: (x + -5)(x + -5) = -12.5 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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