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Simplifying 30x2 + -157x + 49 = 0 Reorder the terms: 49 + -157x + 30x2 = 0 Solving 49 + -157x + 30x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -3x)(49 + -10x) = 0Subproblem 1
Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 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 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333Subproblem 2
Set the factor '(49 + -10x)' equal to zero and attempt to solve: Simplifying 49 + -10x = 0 Solving 49 + -10x = 0 Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -10x = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -10x = 0 + -49 -10x = 0 + -49 Combine like terms: 0 + -49 = -49 -10x = -49 Divide each side by '-10'. x = 4.9 Simplifying x = 4.9Solution
x = {0.3333333333, 4.9}
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