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Simplifying -10x2 + 24x + -80 = 0 Reorder the terms: -80 + 24x + -10x2 = 0 Solving -80 + 24x + -10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-40 + 12x + -5x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-40 + 12x + -5x2)' equal to zero and attempt to solve: Simplifying -40 + 12x + -5x2 = 0 Solving -40 + 12x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 8 + -2.4x + x2 = 0 Move the constant term to the right: Add '-8' to each side of the equation. 8 + -2.4x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + -2.4x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2.4x + x2 = 0 + -8 -2.4x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -2.4x + x2 = -8 The x term is -2.4x. Take half its coefficient (-1.2). Square it (1.44) and add it to both sides. Add '1.44' to each side of the equation. -2.4x + 1.44 + x2 = -8 + 1.44 Reorder the terms: 1.44 + -2.4x + x2 = -8 + 1.44 Combine like terms: -8 + 1.44 = -6.56 1.44 + -2.4x + x2 = -6.56 Factor a perfect square on the left side: (x + -1.2)(x + -1.2) = -6.56 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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