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Simplifying (6x)(6x) + 7x + 12 = 0 Remove parenthesis around (6x) 6x(6x) + 7x + 12 = 0 Remove parenthesis around (6x) 6x * 6x + 7x + 12 = 0 Reorder the terms for easier multiplication: 6 * 6x * x + 7x + 12 = 0 Multiply 6 * 6 36x * x + 7x + 12 = 0 Multiply x * x 36x2 + 7x + 12 = 0 Reorder the terms: 12 + 7x + 36x2 = 0 Solving 12 + 7x + 36x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 36 the coefficient of the squared term: Divide each side by '36'. 0.3333333333 + 0.1944444444x + x2 = 0 Move the constant term to the right: Add '-0.3333333333' to each side of the equation. 0.3333333333 + 0.1944444444x + -0.3333333333 + x2 = 0 + -0.3333333333 Reorder the terms: 0.3333333333 + -0.3333333333 + 0.1944444444x + x2 = 0 + -0.3333333333 Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000 0.0000000000 + 0.1944444444x + x2 = 0 + -0.3333333333 0.1944444444x + x2 = 0 + -0.3333333333 Combine like terms: 0 + -0.3333333333 = -0.3333333333 0.1944444444x + x2 = -0.3333333333 The x term is 0.1944444444x. Take half its coefficient (0.0972222222). Square it (0.009452160490) and add it to both sides. Add '0.009452160490' to each side of the equation. 0.1944444444x + 0.009452160490 + x2 = -0.3333333333 + 0.009452160490 Reorder the terms: 0.009452160490 + 0.1944444444x + x2 = -0.3333333333 + 0.009452160490 Combine like terms: -0.3333333333 + 0.009452160490 = -0.32388117281 0.009452160490 + 0.1944444444x + x2 = -0.32388117281 Factor a perfect square on the left side: (x + 0.0972222222)(x + 0.0972222222) = -0.32388117281 Can't calculate square root of the right side. The solution to this equation could not be determined.
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