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Simplifying (1 + -3x)(5 + -1x) = 0 Multiply (1 + -3x) * (5 + -1x) (1(5 + -1x) + -3x * (5 + -1x)) = 0 ((5 * 1 + -1x * 1) + -3x * (5 + -1x)) = 0 ((5 + -1x) + -3x * (5 + -1x)) = 0 (5 + -1x + (5 * -3x + -1x * -3x)) = 0 (5 + -1x + (-15x + 3x2)) = 0 Combine like terms: -1x + -15x = -16x (5 + -16x + 3x2) = 0 Solving 5 + -16x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -3x)(5 + -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 '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {0.3333333333, 5}
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