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Simplifying x + (x + -6)(x + 5) = 44 Reorder the terms: x + (-6 + x)(x + 5) = 44 Reorder the terms: x + (-6 + x)(5 + x) = 44 Multiply (-6 + x) * (5 + x) x + (-6(5 + x) + x(5 + x)) = 44 x + ((5 * -6 + x * -6) + x(5 + x)) = 44 x + ((-30 + -6x) + x(5 + x)) = 44 x + (-30 + -6x + (5 * x + x * x)) = 44 x + (-30 + -6x + (5x + x2)) = 44 Combine like terms: -6x + 5x = -1x x + (-30 + -1x + x2) = 44 Reorder the terms: -30 + x + -1x + x2 = 44 Combine like terms: x + -1x = 0 -30 + 0 + x2 = 44 -30 + x2 = 44 Solving -30 + x2 = 44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + x2 = 44 + 30 Combine like terms: -30 + 30 = 0 0 + x2 = 44 + 30 x2 = 44 + 30 Combine like terms: 44 + 30 = 74 x2 = 74 Simplifying x2 = 74 Take the square root of each side: x = {-8.602325267, 8.602325267}
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