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Simplifying 15x + -12x2 + -40 = 0 Reorder the terms: -40 + 15x + -12x2 = 0 Solving -40 + 15x + -12x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -12 the coefficient of the squared term: Divide each side by '-12'. 3.333333333 + -1.25x + x2 = 0 Move the constant term to the right: Add '-3.333333333' to each side of the equation. 3.333333333 + -1.25x + -3.333333333 + x2 = 0 + -3.333333333 Reorder the terms: 3.333333333 + -3.333333333 + -1.25x + x2 = 0 + -3.333333333 Combine like terms: 3.333333333 + -3.333333333 = 0.000000000 0.000000000 + -1.25x + x2 = 0 + -3.333333333 -1.25x + x2 = 0 + -3.333333333 Combine like terms: 0 + -3.333333333 = -3.333333333 -1.25x + x2 = -3.333333333 The x term is -1.25x. Take half its coefficient (-0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. -1.25x + 0.390625 + x2 = -3.333333333 + 0.390625 Reorder the terms: 0.390625 + -1.25x + x2 = -3.333333333 + 0.390625 Combine like terms: -3.333333333 + 0.390625 = -2.942708333 0.390625 + -1.25x + x2 = -2.942708333 Factor a perfect square on the left side: (x + -0.625)(x + -0.625) = -2.942708333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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