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Simplifying (5x + -3)(5 + -9x) = 0 Reorder the terms: (-3 + 5x)(5 + -9x) = 0 Multiply (-3 + 5x) * (5 + -9x) (-3(5 + -9x) + 5x * (5 + -9x)) = 0 ((5 * -3 + -9x * -3) + 5x * (5 + -9x)) = 0 ((-15 + 27x) + 5x * (5 + -9x)) = 0 (-15 + 27x + (5 * 5x + -9x * 5x)) = 0 (-15 + 27x + (25x + -45x2)) = 0 Combine like terms: 27x + 25x = 52x (-15 + 52x + -45x2) = 0 Solving -15 + 52x + -45x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + 5x)(5 + -9x) = 0Subproblem 1
Set the factor '(-3 + 5x)' equal to zero and attempt to solve: Simplifying -3 + 5x = 0 Solving -3 + 5x = 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 + 5x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5x = 0 + 3 5x = 0 + 3 Combine like terms: 0 + 3 = 3 5x = 3 Divide each side by '5'. x = 0.6 Simplifying x = 0.6Subproblem 2
Set the factor '(5 + -9x)' equal to zero and attempt to solve: Simplifying 5 + -9x = 0 Solving 5 + -9x = 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 + -9x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = 0 + -5 -9x = 0 + -5 Combine like terms: 0 + -5 = -5 -9x = -5 Divide each side by '-9'. x = 0.5555555556 Simplifying x = 0.5555555556Solution
x = {0.6, 0.5555555556}
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