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Simplifying 5x2 + 69x + 190 = 0 Reorder the terms: 190 + 69x + 5x2 = 0 Solving 190 + 69x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (10 + x)(19 + 5x) = 0Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 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 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Subproblem 2
Set the factor '(19 + 5x)' equal to zero and attempt to solve: Simplifying 19 + 5x = 0 Solving 19 + 5x = 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 + 5x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 5x = 0 + -19 5x = 0 + -19 Combine like terms: 0 + -19 = -19 5x = -19 Divide each side by '5'. x = -3.8 Simplifying x = -3.8Solution
x = {-10, -3.8}
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