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Simplifying -3x(x + 2) + (x + -9) = 0 Reorder the terms: -3x(2 + x) + (x + -9) = 0 (2 * -3x + x * -3x) + (x + -9) = 0 (-6x + -3x2) + (x + -9) = 0 Reorder the terms: -6x + -3x2 + (-9 + x) = 0 Remove parenthesis around (-9 + x) -6x + -3x2 + -9 + x = 0 Reorder the terms: -9 + -6x + x + -3x2 = 0 Combine like terms: -6x + x = -5x -9 + -5x + -3x2 = 0 Solving -9 + -5x + -3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(9 + 5x + 3x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(9 + 5x + 3x2)' equal to zero and attempt to solve: Simplifying 9 + 5x + 3x2 = 0 Solving 9 + 5x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 3 + 1.666666667x + x2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + 1.666666667x + -3 + x2 = 0 + -3 Reorder the terms: 3 + -3 + 1.666666667x + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 1.666666667x + x2 = 0 + -3 1.666666667x + x2 = 0 + -3 Combine like terms: 0 + -3 = -3 1.666666667x + x2 = -3 The x term is 1.666666667x. Take half its coefficient (0.8333333335). Square it (0.6944444447) and add it to both sides. Add '0.6944444447' to each side of the equation. 1.666666667x + 0.6944444447 + x2 = -3 + 0.6944444447 Reorder the terms: 0.6944444447 + 1.666666667x + x2 = -3 + 0.6944444447 Combine like terms: -3 + 0.6944444447 = -2.3055555553 0.6944444447 + 1.666666667x + x2 = -2.3055555553 Factor a perfect square on the left side: (x + 0.8333333335)(x + 0.8333333335) = -2.3055555553 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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