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Simplifying x(3x + -14) = -21 Reorder the terms: x(-14 + 3x) = -21 (-14 * x + 3x * x) = -21 (-14x + 3x2) = -21 Solving -14x + 3x2 = -21 Solving for variable 'x'. Reorder the terms: 21 + -14x + 3x2 = -21 + 21 Combine like terms: -21 + 21 = 0 21 + -14x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 7 + -4.666666667x + x2 = 0 Move the constant term to the right: Add '-7' to each side of the equation. 7 + -4.666666667x + -7 + x2 = 0 + -7 Reorder the terms: 7 + -7 + -4.666666667x + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4.666666667x + x2 = 0 + -7 -4.666666667x + x2 = 0 + -7 Combine like terms: 0 + -7 = -7 -4.666666667x + x2 = -7 The x term is -4.666666667x. Take half its coefficient (-2.333333334). Square it (5.444444448) and add it to both sides. Add '5.444444448' to each side of the equation. -4.666666667x + 5.444444448 + x2 = -7 + 5.444444448 Reorder the terms: 5.444444448 + -4.666666667x + x2 = -7 + 5.444444448 Combine like terms: -7 + 5.444444448 = -1.555555552 5.444444448 + -4.666666667x + x2 = -1.555555552 Factor a perfect square on the left side: (x + -2.333333334)(x + -2.333333334) = -1.555555552 Can't calculate square root of the right side. The solution to this equation could not be determined.
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