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Simplifying -7x2 + 42x + -68 = 0 Reorder the terms: -68 + 42x + -7x2 = 0 Solving -68 + 42x + -7x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -7 the coefficient of the squared term: Divide each side by '-7'. 9.714285714 + -6x + x2 = 0 Move the constant term to the right: Add '-9.714285714' to each side of the equation. 9.714285714 + -6x + -9.714285714 + x2 = 0 + -9.714285714 Reorder the terms: 9.714285714 + -9.714285714 + -6x + x2 = 0 + -9.714285714 Combine like terms: 9.714285714 + -9.714285714 = 0.000000000 0.000000000 + -6x + x2 = 0 + -9.714285714 -6x + x2 = 0 + -9.714285714 Combine like terms: 0 + -9.714285714 = -9.714285714 -6x + x2 = -9.714285714 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 = -9.714285714 + 9 Reorder the terms: 9 + -6x + x2 = -9.714285714 + 9 Combine like terms: -9.714285714 + 9 = -0.714285714 9 + -6x + x2 = -0.714285714 Factor a perfect square on the left side: (x + -3)(x + -3) = -0.714285714 Can't calculate square root of the right side. The solution to this equation could not be determined.
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