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Simplifying 0 = (2x + -3)(x2 + x + -5) Reorder the terms: 0 = (-3 + 2x)(x2 + x + -5) Reorder the terms: 0 = (-3 + 2x)(-5 + x + x2) Multiply (-3 + 2x) * (-5 + x + x2) 0 = (-3(-5 + x + x2) + 2x * (-5 + x + x2)) 0 = ((-5 * -3 + x * -3 + x2 * -3) + 2x * (-5 + x + x2)) 0 = ((15 + -3x + -3x2) + 2x * (-5 + x + x2)) 0 = (15 + -3x + -3x2 + (-5 * 2x + x * 2x + x2 * 2x)) 0 = (15 + -3x + -3x2 + (-10x + 2x2 + 2x3)) Reorder the terms: 0 = (15 + -3x + -10x + -3x2 + 2x2 + 2x3) Combine like terms: -3x + -10x = -13x 0 = (15 + -13x + -3x2 + 2x2 + 2x3) Combine like terms: -3x2 + 2x2 = -1x2 0 = (15 + -13x + -1x2 + 2x3) Solving 0 = 15 + -13x + -1x2 + 2x3 Solving for variable 'x'. Combine like terms: 0 + -15 = -15 -15 + 13x + x2 + -2x3 = 15 + -13x + -1x2 + 2x3 + -15 + 13x + x2 + -2x3 Reorder the terms: -15 + 13x + x2 + -2x3 = 15 + -15 + -13x + 13x + -1x2 + x2 + 2x3 + -2x3 Combine like terms: 15 + -15 = 0 -15 + 13x + x2 + -2x3 = 0 + -13x + 13x + -1x2 + x2 + 2x3 + -2x3 -15 + 13x + x2 + -2x3 = -13x + 13x + -1x2 + x2 + 2x3 + -2x3 Combine like terms: -13x + 13x = 0 -15 + 13x + x2 + -2x3 = 0 + -1x2 + x2 + 2x3 + -2x3 -15 + 13x + x2 + -2x3 = -1x2 + x2 + 2x3 + -2x3 Combine like terms: -1x2 + x2 = 0 -15 + 13x + x2 + -2x3 = 0 + 2x3 + -2x3 -15 + 13x + x2 + -2x3 = 2x3 + -2x3 Combine like terms: 2x3 + -2x3 = 0 -15 + 13x + x2 + -2x3 = 0 The solution to this equation could not be determined.
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