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Simplifying 49x2 + 21x + 15 = 0 Reorder the terms: 15 + 21x + 49x2 = 0 Solving 15 + 21x + 49x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 49 the coefficient of the squared term: Divide each side by '49'. 0.306122449 + 0.4285714286x + x2 = 0 Move the constant term to the right: Add '-0.306122449' to each side of the equation. 0.306122449 + 0.4285714286x + -0.306122449 + x2 = 0 + -0.306122449 Reorder the terms: 0.306122449 + -0.306122449 + 0.4285714286x + x2 = 0 + -0.306122449 Combine like terms: 0.306122449 + -0.306122449 = 0.000000000 0.000000000 + 0.4285714286x + x2 = 0 + -0.306122449 0.4285714286x + x2 = 0 + -0.306122449 Combine like terms: 0 + -0.306122449 = -0.306122449 0.4285714286x + x2 = -0.306122449 The x term is 0.4285714286x. Take half its coefficient (0.2142857143). Square it (0.04591836735) and add it to both sides. Add '0.04591836735' to each side of the equation. 0.4285714286x + 0.04591836735 + x2 = -0.306122449 + 0.04591836735 Reorder the terms: 0.04591836735 + 0.4285714286x + x2 = -0.306122449 + 0.04591836735 Combine like terms: -0.306122449 + 0.04591836735 = -0.26020408165 0.04591836735 + 0.4285714286x + x2 = -0.26020408165 Factor a perfect square on the left side: (x + 0.2142857143)(x + 0.2142857143) = -0.26020408165 Can't calculate square root of the right side. The solution to this equation could not be determined.
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