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Simplifying -3x(x + 4) + -9 = -2x + 12 Reorder the terms: -3x(4 + x) + -9 = -2x + 12 (4 * -3x + x * -3x) + -9 = -2x + 12 (-12x + -3x2) + -9 = -2x + 12 Reorder the terms: -9 + -12x + -3x2 = -2x + 12 Reorder the terms: -9 + -12x + -3x2 = 12 + -2x Solving -9 + -12x + -3x2 = 12 + -2x Solving for variable 'x'. Reorder the terms: -9 + -12 + -12x + 2x + -3x2 = 12 + -2x + -12 + 2x Combine like terms: -9 + -12 = -21 -21 + -12x + 2x + -3x2 = 12 + -2x + -12 + 2x Combine like terms: -12x + 2x = -10x -21 + -10x + -3x2 = 12 + -2x + -12 + 2x Reorder the terms: -21 + -10x + -3x2 = 12 + -12 + -2x + 2x Combine like terms: 12 + -12 = 0 -21 + -10x + -3x2 = 0 + -2x + 2x -21 + -10x + -3x2 = -2x + 2x Combine like terms: -2x + 2x = 0 -21 + -10x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(21 + 10x + 3x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(21 + 10x + 3x2)' equal to zero and attempt to solve: Simplifying 21 + 10x + 3x2 = 0 Solving 21 + 10x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 7 + 3.333333333x + x2 = 0 Move the constant term to the right: Add '-7' to each side of the equation. 7 + 3.333333333x + -7 + x2 = 0 + -7 Reorder the terms: 7 + -7 + 3.333333333x + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3.333333333x + x2 = 0 + -7 3.333333333x + x2 = 0 + -7 Combine like terms: 0 + -7 = -7 3.333333333x + x2 = -7 The x term is 3.333333333x. Take half its coefficient (1.666666667). Square it (2.777777779) and add it to both sides. Add '2.777777779' to each side of the equation. 3.333333333x + 2.777777779 + x2 = -7 + 2.777777779 Reorder the terms: 2.777777779 + 3.333333333x + x2 = -7 + 2.777777779 Combine like terms: -7 + 2.777777779 = -4.222222221 2.777777779 + 3.333333333x + x2 = -4.222222221 Factor a perfect square on the left side: (x + 1.666666667)(x + 1.666666667) = -4.222222221 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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