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Simplifying 12x(3x + 3) + -5(2x + -2) = 6x + -94 Reorder the terms: 12x(3 + 3x) + -5(2x + -2) = 6x + -94 (3 * 12x + 3x * 12x) + -5(2x + -2) = 6x + -94 (36x + 36x2) + -5(2x + -2) = 6x + -94 Reorder the terms: 36x + 36x2 + -5(-2 + 2x) = 6x + -94 36x + 36x2 + (-2 * -5 + 2x * -5) = 6x + -94 36x + 36x2 + (10 + -10x) = 6x + -94 Reorder the terms: 10 + 36x + -10x + 36x2 = 6x + -94 Combine like terms: 36x + -10x = 26x 10 + 26x + 36x2 = 6x + -94 Reorder the terms: 10 + 26x + 36x2 = -94 + 6x Solving 10 + 26x + 36x2 = -94 + 6x Solving for variable 'x'. Reorder the terms: 10 + 94 + 26x + -6x + 36x2 = -94 + 6x + 94 + -6x Combine like terms: 10 + 94 = 104 104 + 26x + -6x + 36x2 = -94 + 6x + 94 + -6x Combine like terms: 26x + -6x = 20x 104 + 20x + 36x2 = -94 + 6x + 94 + -6x Reorder the terms: 104 + 20x + 36x2 = -94 + 94 + 6x + -6x Combine like terms: -94 + 94 = 0 104 + 20x + 36x2 = 0 + 6x + -6x 104 + 20x + 36x2 = 6x + -6x Combine like terms: 6x + -6x = 0 104 + 20x + 36x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(26 + 5x + 9x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(26 + 5x + 9x2)' equal to zero and attempt to solve: Simplifying 26 + 5x + 9x2 = 0 Solving 26 + 5x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 2.888888889 + 0.5555555556x + x2 = 0 Move the constant term to the right: Add '-2.888888889' to each side of the equation. 2.888888889 + 0.5555555556x + -2.888888889 + x2 = 0 + -2.888888889 Reorder the terms: 2.888888889 + -2.888888889 + 0.5555555556x + x2 = 0 + -2.888888889 Combine like terms: 2.888888889 + -2.888888889 = 0.000000000 0.000000000 + 0.5555555556x + x2 = 0 + -2.888888889 0.5555555556x + x2 = 0 + -2.888888889 Combine like terms: 0 + -2.888888889 = -2.888888889 0.5555555556x + x2 = -2.888888889 The x term is 0.5555555556x. Take half its coefficient (0.2777777778). Square it (0.07716049384) and add it to both sides. Add '0.07716049384' to each side of the equation. 0.5555555556x + 0.07716049384 + x2 = -2.888888889 + 0.07716049384 Reorder the terms: 0.07716049384 + 0.5555555556x + x2 = -2.888888889 + 0.07716049384 Combine like terms: -2.888888889 + 0.07716049384 = -2.81172839516 0.07716049384 + 0.5555555556x + x2 = -2.81172839516 Factor a perfect square on the left side: (x + 0.2777777778)(x + 0.2777777778) = -2.81172839516 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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