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Simplifying (4x2 + 12x + -40)(4x + 20) = 0 Reorder the terms: (-40 + 12x + 4x2)(4x + 20) = 0 Reorder the terms: (-40 + 12x + 4x2)(20 + 4x) = 0 Multiply (-40 + 12x + 4x2) * (20 + 4x) (-40(20 + 4x) + 12x * (20 + 4x) + 4x2 * (20 + 4x)) = 0 ((20 * -40 + 4x * -40) + 12x * (20 + 4x) + 4x2 * (20 + 4x)) = 0 ((-800 + -160x) + 12x * (20 + 4x) + 4x2 * (20 + 4x)) = 0 (-800 + -160x + (20 * 12x + 4x * 12x) + 4x2 * (20 + 4x)) = 0 (-800 + -160x + (240x + 48x2) + 4x2 * (20 + 4x)) = 0 (-800 + -160x + 240x + 48x2 + (20 * 4x2 + 4x * 4x2)) = 0 (-800 + -160x + 240x + 48x2 + (80x2 + 16x3)) = 0 Combine like terms: -160x + 240x = 80x (-800 + 80x + 48x2 + 80x2 + 16x3) = 0 Combine like terms: 48x2 + 80x2 = 128x2 (-800 + 80x + 128x2 + 16x3) = 0 Solving -800 + 80x + 128x2 + 16x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '16'. 16(-50 + 5x + 8x2 + x3) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(-50 + 5x + 8x2 + x3)' equal to zero and attempt to solve: Simplifying -50 + 5x + 8x2 + x3 = 0 Solving -50 + 5x + 8x2 + x3 = 0 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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