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Simplifying 14x2 + 32x + 63 = 0 Reorder the terms: 63 + 32x + 14x2 = 0 Solving 63 + 32x + 14x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. 4.5 + 2.285714286x + x2 = 0 Move the constant term to the right: Add '-4.5' to each side of the equation. 4.5 + 2.285714286x + -4.5 + x2 = 0 + -4.5 Reorder the terms: 4.5 + -4.5 + 2.285714286x + x2 = 0 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 2.285714286x + x2 = 0 + -4.5 2.285714286x + x2 = 0 + -4.5 Combine like terms: 0 + -4.5 = -4.5 2.285714286x + x2 = -4.5 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 = -4.5 + 1.306122449 Reorder the terms: 1.306122449 + 2.285714286x + x2 = -4.5 + 1.306122449 Combine like terms: -4.5 + 1.306122449 = -3.193877551 1.306122449 + 2.285714286x + x2 = -3.193877551 Factor a perfect square on the left side: (x + 1.142857143)(x + 1.142857143) = -3.193877551 Can't calculate square root of the right side. The solution to this equation could not be determined.
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