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Simplifying (3x + -3)(x + -6) = -14x + 16 Reorder the terms: (-3 + 3x)(x + -6) = -14x + 16 Reorder the terms: (-3 + 3x)(-6 + x) = -14x + 16 Multiply (-3 + 3x) * (-6 + x) (-3(-6 + x) + 3x * (-6 + x)) = -14x + 16 ((-6 * -3 + x * -3) + 3x * (-6 + x)) = -14x + 16 ((18 + -3x) + 3x * (-6 + x)) = -14x + 16 (18 + -3x + (-6 * 3x + x * 3x)) = -14x + 16 (18 + -3x + (-18x + 3x2)) = -14x + 16 Combine like terms: -3x + -18x = -21x (18 + -21x + 3x2) = -14x + 16 Reorder the terms: 18 + -21x + 3x2 = 16 + -14x Solving 18 + -21x + 3x2 = 16 + -14x Solving for variable 'x'. Reorder the terms: 18 + -16 + -21x + 14x + 3x2 = 16 + -14x + -16 + 14x Combine like terms: 18 + -16 = 2 2 + -21x + 14x + 3x2 = 16 + -14x + -16 + 14x Combine like terms: -21x + 14x = -7x 2 + -7x + 3x2 = 16 + -14x + -16 + 14x Reorder the terms: 2 + -7x + 3x2 = 16 + -16 + -14x + 14x Combine like terms: 16 + -16 = 0 2 + -7x + 3x2 = 0 + -14x + 14x 2 + -7x + 3x2 = -14x + 14x Combine like terms: -14x + 14x = 0 2 + -7x + 3x2 = 0 Factor a trinomial. (1 + -3x)(2 + -1x) = 0Subproblem 1
Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333Subproblem 2
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 = 2Solution
x = {0.3333333333, 2}
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