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Simplifying x(x + -2) + -1(x2 + 16) = 0 Reorder the terms: x(-2 + x) + -1(x2 + 16) = 0 (-2 * x + x * x) + -1(x2 + 16) = 0 (-2x + x2) + -1(x2 + 16) = 0 Reorder the terms: -2x + x2 + -1(16 + x2) = 0 -2x + x2 + (16 * -1 + x2 * -1) = 0 -2x + x2 + (-16 + -1x2) = 0 Reorder the terms: -16 + -2x + x2 + -1x2 = 0 Combine like terms: x2 + -1x2 = 0 -16 + -2x + 0 = 0 -16 + -2x = 0 Solving -16 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -2x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -2x = 0 + 16 -2x = 0 + 16 Combine like terms: 0 + 16 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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