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Simplifying 4x2 = 20x + -96 Reorder the terms: 4x2 = -96 + 20x Solving 4x2 = -96 + 20x Solving for variable 'x'. Reorder the terms: 96 + -20x + 4x2 = -96 + 20x + 96 + -20x Reorder the terms: 96 + -20x + 4x2 = -96 + 96 + 20x + -20x Combine like terms: -96 + 96 = 0 96 + -20x + 4x2 = 0 + 20x + -20x 96 + -20x + 4x2 = 20x + -20x Combine like terms: 20x + -20x = 0 96 + -20x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(24 + -5x + x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(24 + -5x + x2)' equal to zero and attempt to solve: Simplifying 24 + -5x + x2 = 0 Solving 24 + -5x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-24' to each side of the equation. 24 + -5x + -24 + x2 = 0 + -24 Reorder the terms: 24 + -24 + -5x + x2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -5x + x2 = 0 + -24 -5x + x2 = 0 + -24 Combine like terms: 0 + -24 = -24 -5x + x2 = -24 The x term is -5x. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x + 6.25 + x2 = -24 + 6.25 Reorder the terms: 6.25 + -5x + x2 = -24 + 6.25 Combine like terms: -24 + 6.25 = -17.75 6.25 + -5x + x2 = -17.75 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = -17.75 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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