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Simplifying (16x + 3)(18x + -5) = 0 Reorder the terms: (3 + 16x)(18x + -5) = 0 Reorder the terms: (3 + 16x)(-5 + 18x) = 0 Multiply (3 + 16x) * (-5 + 18x) (3(-5 + 18x) + 16x * (-5 + 18x)) = 0 ((-5 * 3 + 18x * 3) + 16x * (-5 + 18x)) = 0 ((-15 + 54x) + 16x * (-5 + 18x)) = 0 (-15 + 54x + (-5 * 16x + 18x * 16x)) = 0 (-15 + 54x + (-80x + 288x2)) = 0 Combine like terms: 54x + -80x = -26x (-15 + -26x + 288x2) = 0 Solving -15 + -26x + 288x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -16x)(5 + -18x) = 0Subproblem 1
Set the factor '(-3 + -16x)' equal to zero and attempt to solve: Simplifying -3 + -16x = 0 Solving -3 + -16x = 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 + -16x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -16x = 0 + 3 -16x = 0 + 3 Combine like terms: 0 + 3 = 3 -16x = 3 Divide each side by '-16'. x = -0.1875 Simplifying x = -0.1875Subproblem 2
Set the factor '(5 + -18x)' equal to zero and attempt to solve: Simplifying 5 + -18x = 0 Solving 5 + -18x = 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 + -18x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -18x = 0 + -5 -18x = 0 + -5 Combine like terms: 0 + -5 = -5 -18x = -5 Divide each side by '-18'. x = 0.2777777778 Simplifying x = 0.2777777778Solution
x = {-0.1875, 0.2777777778}
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