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Simplifying -25x2 + -20x + -6 = 0 Reorder the terms: -6 + -20x + -25x2 = 0 Solving -6 + -20x + -25x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(6 + 20x + 25x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(6 + 20x + 25x2)' equal to zero and attempt to solve: Simplifying 6 + 20x + 25x2 = 0 Solving 6 + 20x + 25x2 = 0 Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 0.24 + 0.8x + x2 = 0 Move the constant term to the right: Add '-0.24' to each side of the equation. 0.24 + 0.8x + -0.24 + x2 = 0 + -0.24 Reorder the terms: 0.24 + -0.24 + 0.8x + x2 = 0 + -0.24 Combine like terms: 0.24 + -0.24 = 0.00 0.00 + 0.8x + x2 = 0 + -0.24 0.8x + x2 = 0 + -0.24 Combine like terms: 0 + -0.24 = -0.24 0.8x + x2 = -0.24 The x term is 0.8x. Take half its coefficient (0.4). Square it (0.16) and add it to both sides. Add '0.16' to each side of the equation. 0.8x + 0.16 + x2 = -0.24 + 0.16 Reorder the terms: 0.16 + 0.8x + x2 = -0.24 + 0.16 Combine like terms: -0.24 + 0.16 = -0.08 0.16 + 0.8x + x2 = -0.08 Factor a perfect square on the left side: (x + 0.4)(x + 0.4) = -0.08 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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