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Simplifying 17x * x + 23x + 35 = 21 Multiply x * x 17x2 + 23x + 35 = 21 Reorder the terms: 35 + 23x + 17x2 = 21 Solving 35 + 23x + 17x2 = 21 Solving for variable 'x'. Reorder the terms: 35 + -21 + 23x + 17x2 = 21 + -21 Combine like terms: 35 + -21 = 14 14 + 23x + 17x2 = 21 + -21 Combine like terms: 21 + -21 = 0 14 + 23x + 17x2 = 0 Begin completing the square. Divide all terms by 17 the coefficient of the squared term: Divide each side by '17'. 0.8235294118 + 1.352941176x + x2 = 0 Move the constant term to the right: Add '-0.8235294118' to each side of the equation. 0.8235294118 + 1.352941176x + -0.8235294118 + x2 = 0 + -0.8235294118 Reorder the terms: 0.8235294118 + -0.8235294118 + 1.352941176x + x2 = 0 + -0.8235294118 Combine like terms: 0.8235294118 + -0.8235294118 = 0.0000000000 0.0000000000 + 1.352941176x + x2 = 0 + -0.8235294118 1.352941176x + x2 = 0 + -0.8235294118 Combine like terms: 0 + -0.8235294118 = -0.8235294118 1.352941176x + x2 = -0.8235294118 The x term is 1.352941176x. Take half its coefficient (0.676470588). Square it (0.4576124564) and add it to both sides. Add '0.4576124564' to each side of the equation. 1.352941176x + 0.4576124564 + x2 = -0.8235294118 + 0.4576124564 Reorder the terms: 0.4576124564 + 1.352941176x + x2 = -0.8235294118 + 0.4576124564 Combine like terms: -0.8235294118 + 0.4576124564 = -0.3659169554 0.4576124564 + 1.352941176x + x2 = -0.3659169554 Factor a perfect square on the left side: (x + 0.676470588)(x + 0.676470588) = -0.3659169554 Can't calculate square root of the right side. The solution to this equation could not be determined.
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