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Simplifying -25x2 + -25x + -8 = 0 Reorder the terms: -8 + -25x + -25x2 = 0 Solving -8 + -25x + -25x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(8 + 25x + 25x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(8 + 25x + 25x2)' equal to zero and attempt to solve: Simplifying 8 + 25x + 25x2 = 0 Solving 8 + 25x + 25x2 = 0 Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 0.32 + x + x2 = 0 Move the constant term to the right: Add '-0.32' to each side of the equation. 0.32 + x + -0.32 + x2 = 0 + -0.32 Reorder the terms: 0.32 + -0.32 + x + x2 = 0 + -0.32 Combine like terms: 0.32 + -0.32 = 0.00 0.00 + x + x2 = 0 + -0.32 x + x2 = 0 + -0.32 Combine like terms: 0 + -0.32 = -0.32 x + x2 = -0.32 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + x2 = -0.32 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + x2 = -0.32 + 0.25 Combine like terms: -0.32 + 0.25 = -0.07 1.25 + x2 = -0.07 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -0.07 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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