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Simplifying (x + 6)(x + 4) = x2 + -81 Reorder the terms: (6 + x)(x + 4) = x2 + -81 Reorder the terms: (6 + x)(4 + x) = x2 + -81 Multiply (6 + x) * (4 + x) (6(4 + x) + x(4 + x)) = x2 + -81 ((4 * 6 + x * 6) + x(4 + x)) = x2 + -81 ((24 + 6x) + x(4 + x)) = x2 + -81 (24 + 6x + (4 * x + x * x)) = x2 + -81 (24 + 6x + (4x + x2)) = x2 + -81 Combine like terms: 6x + 4x = 10x (24 + 10x + x2) = x2 + -81 Reorder the terms: 24 + 10x + x2 = -81 + x2 Add '-1x2' to each side of the equation. 24 + 10x + x2 + -1x2 = -81 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 24 + 10x + 0 = -81 + x2 + -1x2 24 + 10x = -81 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 24 + 10x = -81 + 0 24 + 10x = -81 Solving 24 + 10x = -81 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 10x = -81 + -24 Combine like terms: 24 + -24 = 0 0 + 10x = -81 + -24 10x = -81 + -24 Combine like terms: -81 + -24 = -105 10x = -105 Divide each side by '10'. x = -10.5 Simplifying x = -10.5
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