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Simplifying 30x2 + -113x = 323 Reorder the terms: -113x + 30x2 = 323 Solving -113x + 30x2 = 323 Solving for variable 'x'. Reorder the terms: -323 + -113x + 30x2 = 323 + -323 Combine like terms: 323 + -323 = 0 -323 + -113x + 30x2 = 0 Factor a trinomial. (-19 + -10x)(17 + -3x) = 0Subproblem 1
Set the factor '(-19 + -10x)' equal to zero and attempt to solve: Simplifying -19 + -10x = 0 Solving -19 + -10x = 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 + -10x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -10x = 0 + 19 -10x = 0 + 19 Combine like terms: 0 + 19 = 19 -10x = 19 Divide each side by '-10'. x = -1.9 Simplifying x = -1.9Subproblem 2
Set the factor '(17 + -3x)' equal to zero and attempt to solve: Simplifying 17 + -3x = 0 Solving 17 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -3x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -3x = 0 + -17 -3x = 0 + -17 Combine like terms: 0 + -17 = -17 -3x = -17 Divide each side by '-3'. x = 5.666666667 Simplifying x = 5.666666667Solution
x = {-1.9, 5.666666667}
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