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Simplifying -5x2 + -6x + -8 = 0 Reorder the terms: -8 + -6x + -5x2 = 0 Solving -8 + -6x + -5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(8 + 6x + 5x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(8 + 6x + 5x2)' equal to zero and attempt to solve: Simplifying 8 + 6x + 5x2 = 0 Solving 8 + 6x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1.6 + 1.2x + x2 = 0 Move the constant term to the right: Add '-1.6' to each side of the equation. 1.6 + 1.2x + -1.6 + x2 = 0 + -1.6 Reorder the terms: 1.6 + -1.6 + 1.2x + x2 = 0 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + 1.2x + x2 = 0 + -1.6 1.2x + x2 = 0 + -1.6 Combine like terms: 0 + -1.6 = -1.6 1.2x + x2 = -1.6 The x term is 1.2x. Take half its coefficient (0.6). Square it (0.36) and add it to both sides. Add '0.36' to each side of the equation. 1.2x + 0.36 + x2 = -1.6 + 0.36 Reorder the terms: 0.36 + 1.2x + x2 = -1.6 + 0.36 Combine like terms: -1.6 + 0.36 = -1.24 0.36 + 1.2x + x2 = -1.24 Factor a perfect square on the left side: (x + 0.6)(x + 0.6) = -1.24 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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