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Simplifying (x + 10)(x + -5) = x2 + 1 Reorder the terms: (10 + x)(x + -5) = x2 + 1 Reorder the terms: (10 + x)(-5 + x) = x2 + 1 Multiply (10 + x) * (-5 + x) (10(-5 + x) + x(-5 + x)) = x2 + 1 ((-5 * 10 + x * 10) + x(-5 + x)) = x2 + 1 ((-50 + 10x) + x(-5 + x)) = x2 + 1 (-50 + 10x + (-5 * x + x * x)) = x2 + 1 (-50 + 10x + (-5x + x2)) = x2 + 1 Combine like terms: 10x + -5x = 5x (-50 + 5x + x2) = x2 + 1 Reorder the terms: -50 + 5x + x2 = 1 + x2 Add '-1x2' to each side of the equation. -50 + 5x + x2 + -1x2 = 1 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -50 + 5x + 0 = 1 + x2 + -1x2 -50 + 5x = 1 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -50 + 5x = 1 + 0 -50 + 5x = 1 Solving -50 + 5x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 5x = 1 + 50 Combine like terms: -50 + 50 = 0 0 + 5x = 1 + 50 5x = 1 + 50 Combine like terms: 1 + 50 = 51 5x = 51 Divide each side by '5'. x = 10.2 Simplifying x = 10.2
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