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Simplifying 30X2 + -187X + 290 = 0 Reorder the terms: 290 + -187X + 30X2 = 0 Solving 290 + -187X + 30X2 = 0 Solving for variable 'X'. Factor a trinomial. (29 + -10X)(10 + -3X) = 0Subproblem 1
Set the factor '(29 + -10X)' equal to zero and attempt to solve: Simplifying 29 + -10X = 0 Solving 29 + -10X = 0 Move all terms containing X to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -10X = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -10X = 0 + -29 -10X = 0 + -29 Combine like terms: 0 + -29 = -29 -10X = -29 Divide each side by '-10'. X = 2.9 Simplifying X = 2.9Subproblem 2
Set the factor '(10 + -3X)' equal to zero and attempt to solve: Simplifying 10 + -3X = 0 Solving 10 + -3X = 0 Move all terms containing X to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3X = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3X = 0 + -10 -3X = 0 + -10 Combine like terms: 0 + -10 = -10 -3X = -10 Divide each side by '-3'. X = 3.333333333 Simplifying X = 3.333333333Solution
X = {2.9, 3.333333333}
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