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Simplifying 21x2 + -32x + 136 = 0 Reorder the terms: 136 + -32x + 21x2 = 0 Solving 136 + -32x + 21x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 21 the coefficient of the squared term: Divide each side by '21'. 6.476190476 + -1.523809524x + x2 = 0 Move the constant term to the right: Add '-6.476190476' to each side of the equation. 6.476190476 + -1.523809524x + -6.476190476 + x2 = 0 + -6.476190476 Reorder the terms: 6.476190476 + -6.476190476 + -1.523809524x + x2 = 0 + -6.476190476 Combine like terms: 6.476190476 + -6.476190476 = 0.000000000 0.000000000 + -1.523809524x + x2 = 0 + -6.476190476 -1.523809524x + x2 = 0 + -6.476190476 Combine like terms: 0 + -6.476190476 = -6.476190476 -1.523809524x + x2 = -6.476190476 The x term is -1.523809524x. Take half its coefficient (-0.761904762). Square it (0.5804988664) and add it to both sides. Add '0.5804988664' to each side of the equation. -1.523809524x + 0.5804988664 + x2 = -6.476190476 + 0.5804988664 Reorder the terms: 0.5804988664 + -1.523809524x + x2 = -6.476190476 + 0.5804988664 Combine like terms: -6.476190476 + 0.5804988664 = -5.8956916096 0.5804988664 + -1.523809524x + x2 = -5.8956916096 Factor a perfect square on the left side: (x + -0.761904762)(x + -0.761904762) = -5.8956916096 Can't calculate square root of the right side. The solution to this equation could not be determined.
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