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Simplifying 15x2 + 22x + 14 = 2 Reorder the terms: 14 + 22x + 15x2 = 2 Solving 14 + 22x + 15x2 = 2 Solving for variable 'x'. Reorder the terms: 14 + -2 + 22x + 15x2 = 2 + -2 Combine like terms: 14 + -2 = 12 12 + 22x + 15x2 = 2 + -2 Combine like terms: 2 + -2 = 0 12 + 22x + 15x2 = 0 Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 0.8 + 1.466666667x + x2 = 0 Move the constant term to the right: Add '-0.8' to each side of the equation. 0.8 + 1.466666667x + -0.8 + x2 = 0 + -0.8 Reorder the terms: 0.8 + -0.8 + 1.466666667x + x2 = 0 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 1.466666667x + x2 = 0 + -0.8 1.466666667x + x2 = 0 + -0.8 Combine like terms: 0 + -0.8 = -0.8 1.466666667x + x2 = -0.8 The x term is 1.466666667x. Take half its coefficient (0.7333333335). Square it (0.5377777780) and add it to both sides. Add '0.5377777780' to each side of the equation. 1.466666667x + 0.5377777780 + x2 = -0.8 + 0.5377777780 Reorder the terms: 0.5377777780 + 1.466666667x + x2 = -0.8 + 0.5377777780 Combine like terms: -0.8 + 0.5377777780 = -0.262222222 0.5377777780 + 1.466666667x + x2 = -0.262222222 Factor a perfect square on the left side: (x + 0.7333333335)(x + 0.7333333335) = -0.262222222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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