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Simplifying -5x2 + -10x + -24 = 0 Reorder the terms: -24 + -10x + -5x2 = 0 Solving -24 + -10x + -5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(24 + 10x + 5x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(24 + 10x + 5x2)' equal to zero and attempt to solve: Simplifying 24 + 10x + 5x2 = 0 Solving 24 + 10x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 4.8 + 2x + x2 = 0 Move the constant term to the right: Add '-4.8' to each side of the equation. 4.8 + 2x + -4.8 + x2 = 0 + -4.8 Reorder the terms: 4.8 + -4.8 + 2x + x2 = 0 + -4.8 Combine like terms: 4.8 + -4.8 = 0.0 0.0 + 2x + x2 = 0 + -4.8 2x + x2 = 0 + -4.8 Combine like terms: 0 + -4.8 = -4.8 2x + x2 = -4.8 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -4.8 + 1 Reorder the terms: 1 + 2x + x2 = -4.8 + 1 Combine like terms: -4.8 + 1 = -3.8 1 + 2x + x2 = -3.8 Factor a perfect square on the left side: (x + 1)(x + 1) = -3.8 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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