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Simplifying (2x + 1)(3x2 + -7x + -8) = x3 + -8x2 Reorder the terms: (1 + 2x)(3x2 + -7x + -8) = x3 + -8x2 Reorder the terms: (1 + 2x)(-8 + -7x + 3x2) = x3 + -8x2 Multiply (1 + 2x) * (-8 + -7x + 3x2) (1(-8 + -7x + 3x2) + 2x * (-8 + -7x + 3x2)) = x3 + -8x2 ((-8 * 1 + -7x * 1 + 3x2 * 1) + 2x * (-8 + -7x + 3x2)) = x3 + -8x2 ((-8 + -7x + 3x2) + 2x * (-8 + -7x + 3x2)) = x3 + -8x2 (-8 + -7x + 3x2 + (-8 * 2x + -7x * 2x + 3x2 * 2x)) = x3 + -8x2 (-8 + -7x + 3x2 + (-16x + -14x2 + 6x3)) = x3 + -8x2 Reorder the terms: (-8 + -7x + -16x + 3x2 + -14x2 + 6x3) = x3 + -8x2 Combine like terms: -7x + -16x = -23x (-8 + -23x + 3x2 + -14x2 + 6x3) = x3 + -8x2 Combine like terms: 3x2 + -14x2 = -11x2 (-8 + -23x + -11x2 + 6x3) = x3 + -8x2 Reorder the terms: -8 + -23x + -11x2 + 6x3 = -8x2 + x3 Solving -8 + -23x + -11x2 + 6x3 = -8x2 + x3 Solving for variable 'x'. Reorder the terms: -8 + -23x + -11x2 + 8x2 + 6x3 + -1x3 = -8x2 + x3 + 8x2 + -1x3 Combine like terms: -11x2 + 8x2 = -3x2 -8 + -23x + -3x2 + 6x3 + -1x3 = -8x2 + x3 + 8x2 + -1x3 Combine like terms: 6x3 + -1x3 = 5x3 -8 + -23x + -3x2 + 5x3 = -8x2 + x3 + 8x2 + -1x3 Reorder the terms: -8 + -23x + -3x2 + 5x3 = -8x2 + 8x2 + x3 + -1x3 Combine like terms: -8x2 + 8x2 = 0 -8 + -23x + -3x2 + 5x3 = 0 + x3 + -1x3 -8 + -23x + -3x2 + 5x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 -8 + -23x + -3x2 + 5x3 = 0 The solution to this equation could not be determined.
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