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Simplifying 3x2 = 72 + -19x Solving 3x2 = 72 + -19x Solving for variable 'x'. Reorder the terms: -72 + 19x + 3x2 = 72 + -19x + -72 + 19x Reorder the terms: -72 + 19x + 3x2 = 72 + -72 + -19x + 19x Combine like terms: 72 + -72 = 0 -72 + 19x + 3x2 = 0 + -19x + 19x -72 + 19x + 3x2 = -19x + 19x Combine like terms: -19x + 19x = 0 -72 + 19x + 3x2 = 0 Factor a trinomial. (-9 + -1x)(8 + -3x) = 0Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve: Simplifying -9 + -1x = 0 Solving -9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 0 + 9 -1x = 0 + 9 Combine like terms: 0 + 9 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9Subproblem 2
Set the factor '(8 + -3x)' equal to zero and attempt to solve: Simplifying 8 + -3x = 0 Solving 8 + -3x = 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 + -3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 0 + -8 -3x = 0 + -8 Combine like terms: 0 + -8 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667Solution
x = {-9, 2.666666667}
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