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Simplifying 2x(3x + 3) = 2x + -18 Reorder the terms: 2x(3 + 3x) = 2x + -18 (3 * 2x + 3x * 2x) = 2x + -18 (6x + 6x2) = 2x + -18 Reorder the terms: 6x + 6x2 = -18 + 2x Solving 6x + 6x2 = -18 + 2x Solving for variable 'x'. Reorder the terms: 18 + 6x + -2x + 6x2 = -18 + 2x + 18 + -2x Combine like terms: 6x + -2x = 4x 18 + 4x + 6x2 = -18 + 2x + 18 + -2x Reorder the terms: 18 + 4x + 6x2 = -18 + 18 + 2x + -2x Combine like terms: -18 + 18 = 0 18 + 4x + 6x2 = 0 + 2x + -2x 18 + 4x + 6x2 = 2x + -2x Combine like terms: 2x + -2x = 0 18 + 4x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(9 + 2x + 3x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + 2x + 3x2)' equal to zero and attempt to solve: Simplifying 9 + 2x + 3x2 = 0 Solving 9 + 2x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 3 + 0.6666666667x + x2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + 0.6666666667x + -3 + x2 = 0 + -3 Reorder the terms: 3 + -3 + 0.6666666667x + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 0.6666666667x + x2 = 0 + -3 0.6666666667x + x2 = 0 + -3 Combine like terms: 0 + -3 = -3 0.6666666667x + x2 = -3 The x term is 0.6666666667x. Take half its coefficient (0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. 0.6666666667x + 0.1111111112 + x2 = -3 + 0.1111111112 Reorder the terms: 0.1111111112 + 0.6666666667x + x2 = -3 + 0.1111111112 Combine like terms: -3 + 0.1111111112 = -2.8888888888 0.1111111112 + 0.6666666667x + x2 = -2.8888888888 Factor a perfect square on the left side: (x + 0.3333333334)(x + 0.3333333334) = -2.8888888888 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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