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Simplifying -25x2 + -4x + -60 = 0 Reorder the terms: -60 + -4x + -25x2 = 0 Solving -60 + -4x + -25x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(60 + 4x + 25x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(60 + 4x + 25x2)' equal to zero and attempt to solve: Simplifying 60 + 4x + 25x2 = 0 Solving 60 + 4x + 25x2 = 0 Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 2.4 + 0.16x + x2 = 0 Move the constant term to the right: Add '-2.4' to each side of the equation. 2.4 + 0.16x + -2.4 + x2 = 0 + -2.4 Reorder the terms: 2.4 + -2.4 + 0.16x + x2 = 0 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 0.16x + x2 = 0 + -2.4 0.16x + x2 = 0 + -2.4 Combine like terms: 0 + -2.4 = -2.4 0.16x + x2 = -2.4 The x term is 0.16x. Take half its coefficient (0.08). Square it (0.0064) and add it to both sides. Add '0.0064' to each side of the equation. 0.16x + 0.0064 + x2 = -2.4 + 0.0064 Reorder the terms: 0.0064 + 0.16x + x2 = -2.4 + 0.0064 Combine like terms: -2.4 + 0.0064 = -2.3936 0.0064 + 0.16x + x2 = -2.3936 Factor a perfect square on the left side: (x + 0.08)(x + 0.08) = -2.3936 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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