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Simplifying -2(x + 2) = -6x(-6x + -2) Reorder the terms: -2(2 + x) = -6x(-6x + -2) (2 * -2 + x * -2) = -6x(-6x + -2) (-4 + -2x) = -6x(-6x + -2) Reorder the terms: -4 + -2x = -6x(-2 + -6x) -4 + -2x = (-2 * -6x + -6x * -6x) -4 + -2x = (12x + 36x2) Solving -4 + -2x = 12x + 36x2 Solving for variable 'x'. Combine like terms: -2x + -12x = -14x -4 + -14x + -36x2 = 12x + 36x2 + -12x + -36x2 Reorder the terms: -4 + -14x + -36x2 = 12x + -12x + 36x2 + -36x2 Combine like terms: 12x + -12x = 0 -4 + -14x + -36x2 = 0 + 36x2 + -36x2 -4 + -14x + -36x2 = 36x2 + -36x2 Combine like terms: 36x2 + -36x2 = 0 -4 + -14x + -36x2 = 0 Factor out the Greatest Common Factor (GCF), '-2'. -2(2 + 7x + 18x2) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(2 + 7x + 18x2)' equal to zero and attempt to solve: Simplifying 2 + 7x + 18x2 = 0 Solving 2 + 7x + 18x2 = 0 Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 0.1111111111 + 0.3888888889x + x2 = 0 Move the constant term to the right: Add '-0.1111111111' to each side of the equation. 0.1111111111 + 0.3888888889x + -0.1111111111 + x2 = 0 + -0.1111111111 Reorder the terms: 0.1111111111 + -0.1111111111 + 0.3888888889x + x2 = 0 + -0.1111111111 Combine like terms: 0.1111111111 + -0.1111111111 = 0.0000000000 0.0000000000 + 0.3888888889x + x2 = 0 + -0.1111111111 0.3888888889x + x2 = 0 + -0.1111111111 Combine like terms: 0 + -0.1111111111 = -0.1111111111 0.3888888889x + x2 = -0.1111111111 The x term is 0.3888888889x. Take half its coefficient (0.1944444445). Square it (0.03780864200) and add it to both sides. Add '0.03780864200' to each side of the equation. 0.3888888889x + 0.03780864200 + x2 = -0.1111111111 + 0.03780864200 Reorder the terms: 0.03780864200 + 0.3888888889x + x2 = -0.1111111111 + 0.03780864200 Combine like terms: -0.1111111111 + 0.03780864200 = -0.0733024691 0.03780864200 + 0.3888888889x + x2 = -0.0733024691 Factor a perfect square on the left side: (x + 0.1944444445)(x + 0.1944444445) = -0.0733024691 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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