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Simplifying 3x2 = 19x + -16 Reorder the terms: 3x2 = -16 + 19x Solving 3x2 = -16 + 19x Solving for variable 'x'. Reorder the terms: 16 + -19x + 3x2 = -16 + 19x + 16 + -19x Reorder the terms: 16 + -19x + 3x2 = -16 + 16 + 19x + -19x Combine like terms: -16 + 16 = 0 16 + -19x + 3x2 = 0 + 19x + -19x 16 + -19x + 3x2 = 19x + -19x Combine like terms: 19x + -19x = 0 16 + -19x + 3x2 = 0 Factor a trinomial. (1 + -1x)(16 + -3x) = 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 '(16 + -3x)' equal to zero and attempt to solve: Simplifying 16 + -3x = 0 Solving 16 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -3x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -3x = 0 + -16 -3x = 0 + -16 Combine like terms: 0 + -16 = -16 -3x = -16 Divide each side by '-3'. x = 5.333333333 Simplifying x = 5.333333333Solution
x = {1, 5.333333333}
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