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Simplifying 2x(5 + -7x) = 9 + -1(3x + -2) (5 * 2x + -7x * 2x) = 9 + -1(3x + -2) (10x + -14x2) = 9 + -1(3x + -2) Reorder the terms: 10x + -14x2 = 9 + -1(-2 + 3x) 10x + -14x2 = 9 + (-2 * -1 + 3x * -1) 10x + -14x2 = 9 + (2 + -3x) Combine like terms: 9 + 2 = 11 10x + -14x2 = 11 + -3x Solving 10x + -14x2 = 11 + -3x Solving for variable 'x'. Reorder the terms: -11 + 10x + 3x + -14x2 = 11 + -3x + -11 + 3x Combine like terms: 10x + 3x = 13x -11 + 13x + -14x2 = 11 + -3x + -11 + 3x Reorder the terms: -11 + 13x + -14x2 = 11 + -11 + -3x + 3x Combine like terms: 11 + -11 = 0 -11 + 13x + -14x2 = 0 + -3x + 3x -11 + 13x + -14x2 = -3x + 3x Combine like terms: -3x + 3x = 0 -11 + 13x + -14x2 = 0 Begin completing the square. Divide all terms by -14 the coefficient of the squared term: Divide each side by '-14'. 0.7857142857 + -0.9285714286x + x2 = 0 Move the constant term to the right: Add '-0.7857142857' to each side of the equation. 0.7857142857 + -0.9285714286x + -0.7857142857 + x2 = 0 + -0.7857142857 Reorder the terms: 0.7857142857 + -0.7857142857 + -0.9285714286x + x2 = 0 + -0.7857142857 Combine like terms: 0.7857142857 + -0.7857142857 = 0.0000000000 0.0000000000 + -0.9285714286x + x2 = 0 + -0.7857142857 -0.9285714286x + x2 = 0 + -0.7857142857 Combine like terms: 0 + -0.7857142857 = -0.7857142857 -0.9285714286x + x2 = -0.7857142857 The x term is -0.9285714286x. Take half its coefficient (-0.4642857143). Square it (0.2155612245) and add it to both sides. Add '0.2155612245' to each side of the equation. -0.9285714286x + 0.2155612245 + x2 = -0.7857142857 + 0.2155612245 Reorder the terms: 0.2155612245 + -0.9285714286x + x2 = -0.7857142857 + 0.2155612245 Combine like terms: -0.7857142857 + 0.2155612245 = -0.5701530612 0.2155612245 + -0.9285714286x + x2 = -0.5701530612 Factor a perfect square on the left side: (x + -0.4642857143)(x + -0.4642857143) = -0.5701530612 Can't calculate square root of the right side. The solution to this equation could not be determined.
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