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Simplifying 5x2 + -22x + 6 = -2 Reorder the terms: 6 + -22x + 5x2 = -2 Solving 6 + -22x + 5x2 = -2 Solving for variable 'x'. Reorder the terms: 6 + 2 + -22x + 5x2 = -2 + 2 Combine like terms: 6 + 2 = 8 8 + -22x + 5x2 = -2 + 2 Combine like terms: -2 + 2 = 0 8 + -22x + 5x2 = 0 Factor a trinomial. (2 + -5x)(4 + -1x) = 0Subproblem 1
Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {0.4, 4}
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