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Simplifying x(x2 + -8x) = (5x + 30)(4x + -5) Reorder the terms: x(-8x + x2) = (5x + 30)(4x + -5) (-8x * x + x2 * x) = (5x + 30)(4x + -5) (-8x2 + x3) = (5x + 30)(4x + -5) Reorder the terms: -8x2 + x3 = (30 + 5x)(4x + -5) Reorder the terms: -8x2 + x3 = (30 + 5x)(-5 + 4x) Multiply (30 + 5x) * (-5 + 4x) -8x2 + x3 = (30(-5 + 4x) + 5x * (-5 + 4x)) -8x2 + x3 = ((-5 * 30 + 4x * 30) + 5x * (-5 + 4x)) -8x2 + x3 = ((-150 + 120x) + 5x * (-5 + 4x)) -8x2 + x3 = (-150 + 120x + (-5 * 5x + 4x * 5x)) -8x2 + x3 = (-150 + 120x + (-25x + 20x2)) Combine like terms: 120x + -25x = 95x -8x2 + x3 = (-150 + 95x + 20x2) Solving -8x2 + x3 = -150 + 95x + 20x2 Solving for variable 'x'. Reorder the terms: 150 + -95x + -8x2 + -20x2 + x3 = -150 + 95x + 20x2 + 150 + -95x + -20x2 Combine like terms: -8x2 + -20x2 = -28x2 150 + -95x + -28x2 + x3 = -150 + 95x + 20x2 + 150 + -95x + -20x2 Reorder the terms: 150 + -95x + -28x2 + x3 = -150 + 150 + 95x + -95x + 20x2 + -20x2 Combine like terms: -150 + 150 = 0 150 + -95x + -28x2 + x3 = 0 + 95x + -95x + 20x2 + -20x2 150 + -95x + -28x2 + x3 = 95x + -95x + 20x2 + -20x2 Combine like terms: 95x + -95x = 0 150 + -95x + -28x2 + x3 = 0 + 20x2 + -20x2 150 + -95x + -28x2 + x3 = 20x2 + -20x2 Combine like terms: 20x2 + -20x2 = 0 150 + -95x + -28x2 + x3 = 0 The solution to this equation could not be determined.
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