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Simplifying (3x + -1)(10x + -3) = 0 Reorder the terms: (-1 + 3x)(10x + -3) = 0 Reorder the terms: (-1 + 3x)(-3 + 10x) = 0 Multiply (-1 + 3x) * (-3 + 10x) (-1(-3 + 10x) + 3x * (-3 + 10x)) = 0 ((-3 * -1 + 10x * -1) + 3x * (-3 + 10x)) = 0 ((3 + -10x) + 3x * (-3 + 10x)) = 0 (3 + -10x + (-3 * 3x + 10x * 3x)) = 0 (3 + -10x + (-9x + 30x2)) = 0 Combine like terms: -10x + -9x = -19x (3 + -19x + 30x2) = 0 Solving 3 + -19x + 30x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -10x)(1 + -3x) = 0Subproblem 1
Set the factor '(3 + -10x)' equal to zero and attempt to solve: Simplifying 3 + -10x = 0 Solving 3 + -10x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -10x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -10x = 0 + -3 -10x = 0 + -3 Combine like terms: 0 + -3 = -3 -10x = -3 Divide each side by '-10'. x = 0.3 Simplifying x = 0.3Subproblem 2
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 = 0.3333333333Solution
x = {0.3, 0.3333333333}
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