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Simplifying 3(x + -2) * 7x = -26 Reorder the terms: 3(-2 + x) * 7x = -26 Reorder the terms for easier multiplication: 3 * 7x(-2 + x) = -26 Multiply 3 * 7 21x(-2 + x) = -26 (-2 * 21x + x * 21x) = -26 (-42x + 21x2) = -26 Solving -42x + 21x2 = -26 Solving for variable 'x'. Reorder the terms: 26 + -42x + 21x2 = -26 + 26 Combine like terms: -26 + 26 = 0 26 + -42x + 21x2 = 0 Begin completing the square. Divide all terms by 21 the coefficient of the squared term: Divide each side by '21'. 1.238095238 + -2x + x2 = 0 Move the constant term to the right: Add '-1.238095238' to each side of the equation. 1.238095238 + -2x + -1.238095238 + x2 = 0 + -1.238095238 Reorder the terms: 1.238095238 + -1.238095238 + -2x + x2 = 0 + -1.238095238 Combine like terms: 1.238095238 + -1.238095238 = 0.000000000 0.000000000 + -2x + x2 = 0 + -1.238095238 -2x + x2 = 0 + -1.238095238 Combine like terms: 0 + -1.238095238 = -1.238095238 -2x + x2 = -1.238095238 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 = -1.238095238 + 1 Reorder the terms: 1 + -2x + x2 = -1.238095238 + 1 Combine like terms: -1.238095238 + 1 = -0.238095238 1 + -2x + x2 = -0.238095238 Factor a perfect square on the left side: (x + -1)(x + -1) = -0.238095238 Can't calculate square root of the right side. The solution to this equation could not be determined.
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