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Simplifying 14x + 2x(4x + -5) + -1x(8x + 1) = 0 Reorder the terms: 14x + 2x(-5 + 4x) + -1x(8x + 1) = 0 14x + (-5 * 2x + 4x * 2x) + -1x(8x + 1) = 0 14x + (-10x + 8x2) + -1x(8x + 1) = 0 Reorder the terms: 14x + -10x + 8x2 + -1x(1 + 8x) = 0 14x + -10x + 8x2 + (1 * -1x + 8x * -1x) = 0 14x + -10x + 8x2 + (-1x + -8x2) = 0 Reorder the terms: 14x + -10x + -1x + 8x2 + -8x2 = 0 Combine like terms: 14x + -10x = 4x 4x + -1x + 8x2 + -8x2 = 0 Combine like terms: 4x + -1x = 3x 3x + 8x2 + -8x2 = 0 Combine like terms: 8x2 + -8x2 = 0 3x + 0 = 0 3x = 0 Solving 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '3'. x = 0 Simplifying x = 0
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