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Simplifying (-3)(10) + -1(x + 2)(x + -4) = 0 Multiply -3 * 10 -30 + -1(x + 2)(x + -4) = 0 Reorder the terms: -30 + -1(2 + x)(x + -4) = 0 Reorder the terms: -30 + -1(2 + x)(-4 + x) = 0 Multiply (2 + x) * (-4 + x) -30 + -1(2(-4 + x) + x(-4 + x)) = 0 -30 + -1((-4 * 2 + x * 2) + x(-4 + x)) = 0 -30 + -1((-8 + 2x) + x(-4 + x)) = 0 -30 + -1(-8 + 2x + (-4 * x + x * x)) = 0 -30 + -1(-8 + 2x + (-4x + x2)) = 0 Combine like terms: 2x + -4x = -2x -30 + -1(-8 + -2x + x2) = 0 -30 + (-8 * -1 + -2x * -1 + x2 * -1) = 0 -30 + (8 + 2x + -1x2) = 0 Combine like terms: -30 + 8 = -22 -22 + 2x + -1x2 = 0 Solving -22 + 2x + -1x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 22 + -2x + x2 = 0 Move the constant term to the right: Add '-22' to each side of the equation. 22 + -2x + -22 + x2 = 0 + -22 Reorder the terms: 22 + -22 + -2x + x2 = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -2x + x2 = 0 + -22 -2x + x2 = 0 + -22 Combine like terms: 0 + -22 = -22 -2x + x2 = -22 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -22 + 1 Reorder the terms: 1 + -2x + x2 = -22 + 1 Combine like terms: -22 + 1 = -21 1 + -2x + x2 = -21 Factor a perfect square on the left side: (x + -1)(x + -1) = -21 Can't calculate square root of the right side. The solution to this equation could not be determined.
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