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Simplifying 5x2 = 22x + 48 Reorder the terms: 5x2 = 48 + 22x Solving 5x2 = 48 + 22x Solving for variable 'x'. Reorder the terms: -48 + -22x + 5x2 = 48 + 22x + -48 + -22x Reorder the terms: -48 + -22x + 5x2 = 48 + -48 + 22x + -22x Combine like terms: 48 + -48 = 0 -48 + -22x + 5x2 = 0 + 22x + -22x -48 + -22x + 5x2 = 22x + -22x Combine like terms: 22x + -22x = 0 -48 + -22x + 5x2 = 0 Factor a trinomial. (-8 + -5x)(6 + -1x) = 0Subproblem 1
Set the factor '(-8 + -5x)' equal to zero and attempt to solve: Simplifying -8 + -5x = 0 Solving -8 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -5x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = 0 + 8 -5x = 0 + 8 Combine like terms: 0 + 8 = 8 -5x = 8 Divide each side by '-5'. x = -1.6 Simplifying x = -1.6Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-1.6, 6}
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