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Simplifying 10(x + -1) + -1x(x + 4) = 288 Reorder the terms: 10(-1 + x) + -1x(x + 4) = 288 (-1 * 10 + x * 10) + -1x(x + 4) = 288 (-10 + 10x) + -1x(x + 4) = 288 Reorder the terms: -10 + 10x + -1x(4 + x) = 288 -10 + 10x + (4 * -1x + x * -1x) = 288 -10 + 10x + (-4x + -1x2) = 288 Combine like terms: 10x + -4x = 6x -10 + 6x + -1x2 = 288 Solving -10 + 6x + -1x2 = 288 Solving for variable 'x'. Reorder the terms: -10 + -288 + 6x + -1x2 = 288 + -288 Combine like terms: -10 + -288 = -298 -298 + 6x + -1x2 = 288 + -288 Combine like terms: 288 + -288 = 0 -298 + 6x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 298 + -6x + x2 = 0 Move the constant term to the right: Add '-298' to each side of the equation. 298 + -6x + -298 + x2 = 0 + -298 Reorder the terms: 298 + -298 + -6x + x2 = 0 + -298 Combine like terms: 298 + -298 = 0 0 + -6x + x2 = 0 + -298 -6x + x2 = 0 + -298 Combine like terms: 0 + -298 = -298 -6x + x2 = -298 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -298 + 9 Reorder the terms: 9 + -6x + x2 = -298 + 9 Combine like terms: -298 + 9 = -289 9 + -6x + x2 = -289 Factor a perfect square on the left side: (x + -3)(x + -3) = -289 Can't calculate square root of the right side. The solution to this equation could not be determined.
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