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Simplifying 5x2 = 44x + 9 Reorder the terms: 5x2 = 9 + 44x Solving 5x2 = 9 + 44x Solving for variable 'x'. Reorder the terms: -9 + -44x + 5x2 = 9 + 44x + -9 + -44x Reorder the terms: -9 + -44x + 5x2 = 9 + -9 + 44x + -44x Combine like terms: 9 + -9 = 0 -9 + -44x + 5x2 = 0 + 44x + -44x -9 + -44x + 5x2 = 44x + -44x Combine like terms: 44x + -44x = 0 -9 + -44x + 5x2 = 0 Factor a trinomial. (-1 + -5x)(9 + -1x) = 0Subproblem 1
Set the factor '(-1 + -5x)' equal to zero and attempt to solve: Simplifying -1 + -5x = 0 Solving -1 + -5x = 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 + -5x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 0 + 1 -5x = 0 + 1 Combine like terms: 0 + 1 = 1 -5x = 1 Divide each side by '-5'. x = -0.2 Simplifying x = -0.2Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-0.2, 9}
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