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Simplifying (12x)(12x) + -8x = -171 Remove parenthesis around (12x) 12x(12x) + -8x = -171 Remove parenthesis around (12x) 12x * 12x + -8x = -171 Reorder the terms for easier multiplication: 12 * 12x * x + -8x = -171 Multiply 12 * 12 144x * x + -8x = -171 Multiply x * x 144x2 + -8x = -171 Reorder the terms: -8x + 144x2 = -171 Solving -8x + 144x2 = -171 Solving for variable 'x'. Reorder the terms: 171 + -8x + 144x2 = -171 + 171 Combine like terms: -171 + 171 = 0 171 + -8x + 144x2 = 0 Begin completing the square. Divide all terms by 144 the coefficient of the squared term: Divide each side by '144'. 1.1875 + -0.05555555556x + x2 = 0 Move the constant term to the right: Add '-1.1875' to each side of the equation. 1.1875 + -0.05555555556x + -1.1875 + x2 = 0 + -1.1875 Reorder the terms: 1.1875 + -1.1875 + -0.05555555556x + x2 = 0 + -1.1875 Combine like terms: 1.1875 + -1.1875 = 0.0000 0.0000 + -0.05555555556x + x2 = 0 + -1.1875 -0.05555555556x + x2 = 0 + -1.1875 Combine like terms: 0 + -1.1875 = -1.1875 -0.05555555556x + x2 = -1.1875 The x term is -0.05555555556x. Take half its coefficient (-0.02777777778). Square it (0.0007716049384) and add it to both sides. Add '0.0007716049384' to each side of the equation. -0.05555555556x + 0.0007716049384 + x2 = -1.1875 + 0.0007716049384 Reorder the terms: 0.0007716049384 + -0.05555555556x + x2 = -1.1875 + 0.0007716049384 Combine like terms: -1.1875 + 0.0007716049384 = -1.1867283950616 0.0007716049384 + -0.05555555556x + x2 = -1.1867283950616 Factor a perfect square on the left side: (x + -0.02777777778)(x + -0.02777777778) = -1.1867283950616 Can't calculate square root of the right side. The solution to this equation could not be determined.
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