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Simplifying 4x2 + -65x + 375 = 0 Reorder the terms: 375 + -65x + 4x2 = 0 Solving 375 + -65x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 93.75 + -16.25x + x2 = 0 Move the constant term to the right: Add '-93.75' to each side of the equation. 93.75 + -16.25x + -93.75 + x2 = 0 + -93.75 Reorder the terms: 93.75 + -93.75 + -16.25x + x2 = 0 + -93.75 Combine like terms: 93.75 + -93.75 = 0.00 0.00 + -16.25x + x2 = 0 + -93.75 -16.25x + x2 = 0 + -93.75 Combine like terms: 0 + -93.75 = -93.75 -16.25x + x2 = -93.75 The x term is -16.25x. Take half its coefficient (-8.125). Square it (66.015625) and add it to both sides. Add '66.015625' to each side of the equation. -16.25x + 66.015625 + x2 = -93.75 + 66.015625 Reorder the terms: 66.015625 + -16.25x + x2 = -93.75 + 66.015625 Combine like terms: -93.75 + 66.015625 = -27.734375 66.015625 + -16.25x + x2 = -27.734375 Factor a perfect square on the left side: (x + -8.125)(x + -8.125) = -27.734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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