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Simplifying 5x2 + -27x + 22 = 0 Reorder the terms: 22 + -27x + 5x2 = 0 Solving 22 + -27x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -1x)(22 + -5x) = 0Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(22 + -5x)' equal to zero and attempt to solve: Simplifying 22 + -5x = 0 Solving 22 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -5x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -5x = 0 + -22 -5x = 0 + -22 Combine like terms: 0 + -22 = -22 -5x = -22 Divide each side by '-5'. x = 4.4 Simplifying x = 4.4Solution
x = {1, 4.4}
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