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Simplifying (x + 4)(4 + -1x) = 3(3x + -2) Reorder the terms: (4 + x)(4 + -1x) = 3(3x + -2) Multiply (4 + x) * (4 + -1x) (4(4 + -1x) + x(4 + -1x)) = 3(3x + -2) ((4 * 4 + -1x * 4) + x(4 + -1x)) = 3(3x + -2) ((16 + -4x) + x(4 + -1x)) = 3(3x + -2) (16 + -4x + (4 * x + -1x * x)) = 3(3x + -2) (16 + -4x + (4x + -1x2)) = 3(3x + -2) Combine like terms: -4x + 4x = 0 (16 + 0 + -1x2) = 3(3x + -2) (16 + -1x2) = 3(3x + -2) Reorder the terms: 16 + -1x2 = 3(-2 + 3x) 16 + -1x2 = (-2 * 3 + 3x * 3) 16 + -1x2 = (-6 + 9x) Solving 16 + -1x2 = -6 + 9x Solving for variable 'x'. Reorder the terms: 16 + 6 + -9x + -1x2 = -6 + 9x + 6 + -9x Combine like terms: 16 + 6 = 22 22 + -9x + -1x2 = -6 + 9x + 6 + -9x Reorder the terms: 22 + -9x + -1x2 = -6 + 6 + 9x + -9x Combine like terms: -6 + 6 = 0 22 + -9x + -1x2 = 0 + 9x + -9x 22 + -9x + -1x2 = 9x + -9x Combine like terms: 9x + -9x = 0 22 + -9x + -1x2 = 0 Factor a trinomial. (2 + -1x)(11 + x) = 0Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(11 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11Solution
x = {2, -11}
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