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Simplifying (2x + 3)(x + -4)(4x + -5) = 0 Reorder the terms: (3 + 2x)(x + -4)(4x + -5) = 0 Reorder the terms: (3 + 2x)(-4 + x)(4x + -5) = 0 Reorder the terms: (3 + 2x)(-4 + x)(-5 + 4x) = 0 Multiply (3 + 2x) * (-4 + x) (3(-4 + x) + 2x * (-4 + x))(-5 + 4x) = 0 ((-4 * 3 + x * 3) + 2x * (-4 + x))(-5 + 4x) = 0 ((-12 + 3x) + 2x * (-4 + x))(-5 + 4x) = 0 (-12 + 3x + (-4 * 2x + x * 2x))(-5 + 4x) = 0 (-12 + 3x + (-8x + 2x2))(-5 + 4x) = 0 Combine like terms: 3x + -8x = -5x (-12 + -5x + 2x2)(-5 + 4x) = 0 Multiply (-12 + -5x + 2x2) * (-5 + 4x) (-12(-5 + 4x) + -5x * (-5 + 4x) + 2x2 * (-5 + 4x)) = 0 ((-5 * -12 + 4x * -12) + -5x * (-5 + 4x) + 2x2 * (-5 + 4x)) = 0 ((60 + -48x) + -5x * (-5 + 4x) + 2x2 * (-5 + 4x)) = 0 (60 + -48x + (-5 * -5x + 4x * -5x) + 2x2 * (-5 + 4x)) = 0 (60 + -48x + (25x + -20x2) + 2x2 * (-5 + 4x)) = 0 (60 + -48x + 25x + -20x2 + (-5 * 2x2 + 4x * 2x2)) = 0 (60 + -48x + 25x + -20x2 + (-10x2 + 8x3)) = 0 Combine like terms: -48x + 25x = -23x (60 + -23x + -20x2 + -10x2 + 8x3) = 0 Combine like terms: -20x2 + -10x2 = -30x2 (60 + -23x + -30x2 + 8x3) = 0 Solving 60 + -23x + -30x2 + 8x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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