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Simplifying 8z(z + 5) + -1a(z + -5) = 0 Reorder the terms: 8z(5 + z) + -1a(z + -5) = 0 (5 * 8z + z * 8z) + -1a(z + -5) = 0 (40z + 8z2) + -1a(z + -5) = 0 Reorder the terms: 40z + 8z2 + -1a(-5 + z) = 0 40z + 8z2 + (-5 * -1a + z * -1a) = 0 40z + 8z2 + (5a + -1az) = 0 Reorder the terms: 5a + -1az + 40z + 8z2 = 0 Solving 5a + -1az + 40z + 8z2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-40z' to each side of the equation. 5a + -1az + 40z + -40z + 8z2 = 0 + -40z Combine like terms: 40z + -40z = 0 5a + -1az + 0 + 8z2 = 0 + -40z 5a + -1az + 8z2 = 0 + -40z Remove the zero: 5a + -1az + 8z2 = -40z Add '-8z2' to each side of the equation. 5a + -1az + 8z2 + -8z2 = -40z + -8z2 Combine like terms: 8z2 + -8z2 = 0 5a + -1az + 0 = -40z + -8z2 5a + -1az = -40z + -8z2 Reorder the terms: 5a + -1az + 40z + 8z2 = -40z + 40z + -8z2 + 8z2 Combine like terms: -40z + 40z = 0 5a + -1az + 40z + 8z2 = 0 + -8z2 + 8z2 5a + -1az + 40z + 8z2 = -8z2 + 8z2 Combine like terms: -8z2 + 8z2 = 0 5a + -1az + 40z + 8z2 = 0 The solution to this equation could not be determined.
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