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Simplifying 25x2 + -80x + 80 = 0 Reorder the terms: 80 + -80x + 25x2 = 0 Solving 80 + -80x + 25x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(16 + -16x + 5x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(16 + -16x + 5x2)' equal to zero and attempt to solve: Simplifying 16 + -16x + 5x2 = 0 Solving 16 + -16x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 3.2 + -3.2x + x2 = 0 Move the constant term to the right: Add '-3.2' to each side of the equation. 3.2 + -3.2x + -3.2 + x2 = 0 + -3.2 Reorder the terms: 3.2 + -3.2 + -3.2x + x2 = 0 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + -3.2x + x2 = 0 + -3.2 -3.2x + x2 = 0 + -3.2 Combine like terms: 0 + -3.2 = -3.2 -3.2x + x2 = -3.2 The x term is -3.2x. Take half its coefficient (-1.6). Square it (2.56) and add it to both sides. Add '2.56' to each side of the equation. -3.2x + 2.56 + x2 = -3.2 + 2.56 Reorder the terms: 2.56 + -3.2x + x2 = -3.2 + 2.56 Combine like terms: -3.2 + 2.56 = -0.64 2.56 + -3.2x + x2 = -0.64 Factor a perfect square on the left side: (x + -1.6)(x + -1.6) = -0.64 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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