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Simplifying -5X2 + -2X + -3 = 0 Reorder the terms: -3 + -2X + -5X2 = 0 Solving -3 + -2X + -5X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '-1'. -1(3 + 2X + 5X2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(3 + 2X + 5X2)' equal to zero and attempt to solve: Simplifying 3 + 2X + 5X2 = 0 Solving 3 + 2X + 5X2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.6 + 0.4X + X2 = 0 Move the constant term to the right: Add '-0.6' to each side of the equation. 0.6 + 0.4X + -0.6 + X2 = 0 + -0.6 Reorder the terms: 0.6 + -0.6 + 0.4X + X2 = 0 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.4X + X2 = 0 + -0.6 0.4X + X2 = 0 + -0.6 Combine like terms: 0 + -0.6 = -0.6 0.4X + X2 = -0.6 The X term is 0.4X. Take half its coefficient (0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. 0.4X + 0.04 + X2 = -0.6 + 0.04 Reorder the terms: 0.04 + 0.4X + X2 = -0.6 + 0.04 Combine like terms: -0.6 + 0.04 = -0.56 0.04 + 0.4X + X2 = -0.56 Factor a perfect square on the left side: (X + 0.2)(X + 0.2) = -0.56 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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