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Simplifying (5 + -1x)(4 + -9x) = 0 Multiply (5 + -1x) * (4 + -9x) (5(4 + -9x) + -1x * (4 + -9x)) = 0 ((4 * 5 + -9x * 5) + -1x * (4 + -9x)) = 0 ((20 + -45x) + -1x * (4 + -9x)) = 0 (20 + -45x + (4 * -1x + -9x * -1x)) = 0 (20 + -45x + (-4x + 9x2)) = 0 Combine like terms: -45x + -4x = -49x (20 + -49x + 9x2) = 0 Solving 20 + -49x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + -9x)(5 + -1x) = 0Subproblem 1
Set the factor '(4 + -9x)' equal to zero and attempt to solve: Simplifying 4 + -9x = 0 Solving 4 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -9x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = 0 + -4 -9x = 0 + -4 Combine like terms: 0 + -4 = -4 -9x = -4 Divide each side by '-9'. x = 0.4444444444 Simplifying x = 0.4444444444Subproblem 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 = {0.4444444444, 5}
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