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Simplifying 5x2 = 38x + 16 Reorder the terms: 5x2 = 16 + 38x Solving 5x2 = 16 + 38x Solving for variable 'x'. Reorder the terms: -16 + -38x + 5x2 = 16 + 38x + -16 + -38x Reorder the terms: -16 + -38x + 5x2 = 16 + -16 + 38x + -38x Combine like terms: 16 + -16 = 0 -16 + -38x + 5x2 = 0 + 38x + -38x -16 + -38x + 5x2 = 38x + -38x Combine like terms: 38x + -38x = 0 -16 + -38x + 5x2 = 0 Factor a trinomial. (-2 + -5x)(8 + -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 '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 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 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-0.4, 8}
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