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Simplifying 9x + (3x2 + -19x + 15) = 8 Reorder the terms: 9x + (15 + -19x + 3x2) = 8 Remove parenthesis around (15 + -19x + 3x2) 9x + 15 + -19x + 3x2 = 8 Reorder the terms: 15 + 9x + -19x + 3x2 = 8 Combine like terms: 9x + -19x = -10x 15 + -10x + 3x2 = 8 Solving 15 + -10x + 3x2 = 8 Solving for variable 'x'. Reorder the terms: 15 + -8 + -10x + 3x2 = 8 + -8 Combine like terms: 15 + -8 = 7 7 + -10x + 3x2 = 8 + -8 Combine like terms: 8 + -8 = 0 7 + -10x + 3x2 = 0 Factor a trinomial. (1 + -1x)(7 + -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 '(7 + -3x)' equal to zero and attempt to solve: Simplifying 7 + -3x = 0 Solving 7 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0 + -7 -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333Solution
x = {1, 2.333333333}
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