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Simplifying 6x2 + 18(2 + -1x) * 2 + -4 = 0 Reorder the terms for easier multiplication: 6x2 + 18 * 2(2 + -1x) + -4 = 0 Multiply 18 * 2 6x2 + 36(2 + -1x) + -4 = 0 6x2 + (2 * 36 + -1x * 36) + -4 = 0 6x2 + (72 + -36x) + -4 = 0 Reorder the terms: 72 + -4 + -36x + 6x2 = 0 Combine like terms: 72 + -4 = 68 68 + -36x + 6x2 = 0 Solving 68 + -36x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(34 + -18x + 3x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(34 + -18x + 3x2)' equal to zero and attempt to solve: Simplifying 34 + -18x + 3x2 = 0 Solving 34 + -18x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 11.33333333 + -6x + x2 = 0 Move the constant term to the right: Add '-11.33333333' to each side of the equation. 11.33333333 + -6x + -11.33333333 + x2 = 0 + -11.33333333 Reorder the terms: 11.33333333 + -11.33333333 + -6x + x2 = 0 + -11.33333333 Combine like terms: 11.33333333 + -11.33333333 = 0.00000000 0.00000000 + -6x + x2 = 0 + -11.33333333 -6x + x2 = 0 + -11.33333333 Combine like terms: 0 + -11.33333333 = -11.33333333 -6x + x2 = -11.33333333 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 = -11.33333333 + 9 Reorder the terms: 9 + -6x + x2 = -11.33333333 + 9 Combine like terms: -11.33333333 + 9 = -2.33333333 9 + -6x + x2 = -2.33333333 Factor a perfect square on the left side: (x + -3)(x + -3) = -2.33333333 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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