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Simplifying 5x2 = 14x + 19 Reorder the terms: 5x2 = 19 + 14x Solving 5x2 = 19 + 14x Solving for variable 'x'. Reorder the terms: -19 + -14x + 5x2 = 19 + 14x + -19 + -14x Reorder the terms: -19 + -14x + 5x2 = 19 + -19 + 14x + -14x Combine like terms: 19 + -19 = 0 -19 + -14x + 5x2 = 0 + 14x + -14x -19 + -14x + 5x2 = 14x + -14x Combine like terms: 14x + -14x = 0 -19 + -14x + 5x2 = 0 Factor a trinomial. (-1 + -1x)(19 + -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 '(19 + -5x)' equal to zero and attempt to solve: Simplifying 19 + -5x = 0 Solving 19 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -5x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -5x = 0 + -19 -5x = 0 + -19 Combine like terms: 0 + -19 = -19 -5x = -19 Divide each side by '-5'. x = 3.8 Simplifying x = 3.8Solution
x = {-1, 3.8}
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