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Simplifying (x + 5)(x + -2)(2x + -3) = 0 Reorder the terms: (5 + x)(x + -2)(2x + -3) = 0 Reorder the terms: (5 + x)(-2 + x)(2x + -3) = 0 Reorder the terms: (5 + x)(-2 + x)(-3 + 2x) = 0 Multiply (5 + x) * (-2 + x) (5(-2 + x) + x(-2 + x))(-3 + 2x) = 0 ((-2 * 5 + x * 5) + x(-2 + x))(-3 + 2x) = 0 ((-10 + 5x) + x(-2 + x))(-3 + 2x) = 0 (-10 + 5x + (-2 * x + x * x))(-3 + 2x) = 0 (-10 + 5x + (-2x + x2))(-3 + 2x) = 0 Combine like terms: 5x + -2x = 3x (-10 + 3x + x2)(-3 + 2x) = 0 Multiply (-10 + 3x + x2) * (-3 + 2x) (-10(-3 + 2x) + 3x * (-3 + 2x) + x2(-3 + 2x)) = 0 ((-3 * -10 + 2x * -10) + 3x * (-3 + 2x) + x2(-3 + 2x)) = 0 ((30 + -20x) + 3x * (-3 + 2x) + x2(-3 + 2x)) = 0 (30 + -20x + (-3 * 3x + 2x * 3x) + x2(-3 + 2x)) = 0 (30 + -20x + (-9x + 6x2) + x2(-3 + 2x)) = 0 (30 + -20x + -9x + 6x2 + (-3 * x2 + 2x * x2)) = 0 (30 + -20x + -9x + 6x2 + (-3x2 + 2x3)) = 0 Combine like terms: -20x + -9x = -29x (30 + -29x + 6x2 + -3x2 + 2x3) = 0 Combine like terms: 6x2 + -3x2 = 3x2 (30 + -29x + 3x2 + 2x3) = 0 Solving 30 + -29x + 3x2 + 2x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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