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Simplifying 7x2 + -16x + 15 = 0 Reorder the terms: 15 + -16x + 7x2 = 0 Solving 15 + -16x + 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'. 2.142857143 + -2.285714286x + x2 = 0 Move the constant term to the right: Add '-2.142857143' to each side of the equation. 2.142857143 + -2.285714286x + -2.142857143 + x2 = 0 + -2.142857143 Reorder the terms: 2.142857143 + -2.142857143 + -2.285714286x + x2 = 0 + -2.142857143 Combine like terms: 2.142857143 + -2.142857143 = 0.000000000 0.000000000 + -2.285714286x + x2 = 0 + -2.142857143 -2.285714286x + x2 = 0 + -2.142857143 Combine like terms: 0 + -2.142857143 = -2.142857143 -2.285714286x + x2 = -2.142857143 The x term is -2.285714286x. Take half its coefficient (-1.142857143). Square it (1.306122449) and add it to both sides. Add '1.306122449' to each side of the equation. -2.285714286x + 1.306122449 + x2 = -2.142857143 + 1.306122449 Reorder the terms: 1.306122449 + -2.285714286x + x2 = -2.142857143 + 1.306122449 Combine like terms: -2.142857143 + 1.306122449 = -0.836734694 1.306122449 + -2.285714286x + x2 = -0.836734694 Factor a perfect square on the left side: (x + -1.142857143)(x + -1.142857143) = -0.836734694 Can't calculate square root of the right side. The solution to this equation could not be determined.
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