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Simplifying 7x2 + -42x + 72 = 0 Reorder the terms: 72 + -42x + 7x2 = 0 Solving 72 + -42x + 7x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 10.28571429 + -6x + x2 = 0 Move the constant term to the right: Add '-10.28571429' to each side of the equation. 10.28571429 + -6x + -10.28571429 + x2 = 0 + -10.28571429 Reorder the terms: 10.28571429 + -10.28571429 + -6x + x2 = 0 + -10.28571429 Combine like terms: 10.28571429 + -10.28571429 = 0.00000000 0.00000000 + -6x + x2 = 0 + -10.28571429 -6x + x2 = 0 + -10.28571429 Combine like terms: 0 + -10.28571429 = -10.28571429 -6x + x2 = -10.28571429 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -10.28571429 + 9 Reorder the terms: 9 + -6x + x2 = -10.28571429 + 9 Combine like terms: -10.28571429 + 9 = -1.28571429 9 + -6x + x2 = -1.28571429 Factor a perfect square on the left side: (x + -3)(x + -3) = -1.28571429 Can't calculate square root of the right side. The solution to this equation could not be determined.
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