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Simplifying 31x2 + -35x + 150 = 0 Reorder the terms: 150 + -35x + 31x2 = 0 Solving 150 + -35x + 31x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 31 the coefficient of the squared term: Divide each side by '31'. 4.838709677 + -1.129032258x + x2 = 0 Move the constant term to the right: Add '-4.838709677' to each side of the equation. 4.838709677 + -1.129032258x + -4.838709677 + x2 = 0 + -4.838709677 Reorder the terms: 4.838709677 + -4.838709677 + -1.129032258x + x2 = 0 + -4.838709677 Combine like terms: 4.838709677 + -4.838709677 = 0.000000000 0.000000000 + -1.129032258x + x2 = 0 + -4.838709677 -1.129032258x + x2 = 0 + -4.838709677 Combine like terms: 0 + -4.838709677 = -4.838709677 -1.129032258x + x2 = -4.838709677 The x term is -1.129032258x. Take half its coefficient (-0.564516129). Square it (0.3186784599) and add it to both sides. Add '0.3186784599' to each side of the equation. -1.129032258x + 0.3186784599 + x2 = -4.838709677 + 0.3186784599 Reorder the terms: 0.3186784599 + -1.129032258x + x2 = -4.838709677 + 0.3186784599 Combine like terms: -4.838709677 + 0.3186784599 = -4.5200312171 0.3186784599 + -1.129032258x + x2 = -4.5200312171 Factor a perfect square on the left side: (x + -0.564516129)(x + -0.564516129) = -4.5200312171 Can't calculate square root of the right side. The solution to this equation could not be determined.
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