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Simplifying 24x2 + -7x + 5 = 0 Reorder the terms: 5 + -7x + 24x2 = 0 Solving 5 + -7x + 24x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 24 the coefficient of the squared term: Divide each side by '24'. 0.2083333333 + -0.2916666667x + x2 = 0 Move the constant term to the right: Add '-0.2083333333' to each side of the equation. 0.2083333333 + -0.2916666667x + -0.2083333333 + x2 = 0 + -0.2083333333 Reorder the terms: 0.2083333333 + -0.2083333333 + -0.2916666667x + x2 = 0 + -0.2083333333 Combine like terms: 0.2083333333 + -0.2083333333 = 0.0000000000 0.0000000000 + -0.2916666667x + x2 = 0 + -0.2083333333 -0.2916666667x + x2 = 0 + -0.2083333333 Combine like terms: 0 + -0.2083333333 = -0.2083333333 -0.2916666667x + x2 = -0.2083333333 The x term is -0.2916666667x. Take half its coefficient (-0.1458333334). Square it (0.02126736113) and add it to both sides. Add '0.02126736113' to each side of the equation. -0.2916666667x + 0.02126736113 + x2 = -0.2083333333 + 0.02126736113 Reorder the terms: 0.02126736113 + -0.2916666667x + x2 = -0.2083333333 + 0.02126736113 Combine like terms: -0.2083333333 + 0.02126736113 = -0.18706597217 0.02126736113 + -0.2916666667x + x2 = -0.18706597217 Factor a perfect square on the left side: (x + -0.1458333334)(x + -0.1458333334) = -0.18706597217 Can't calculate square root of the right side. The solution to this equation could not be determined.
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