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Simplifying x(9x + 19) + 10 = 0 Reorder the terms: x(19 + 9x) + 10 = 0 (19 * x + 9x * x) + 10 = 0 (19x + 9x2) + 10 = 0 Reorder the terms: 10 + 19x + 9x2 = 0 Solving 10 + 19x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (10 + 9x)(1 + x) = 0Subproblem 1
Set the factor '(10 + 9x)' equal to zero and attempt to solve: Simplifying 10 + 9x = 0 Solving 10 + 9x = 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 + 9x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 9x = 0 + -10 9x = 0 + -10 Combine like terms: 0 + -10 = -10 9x = -10 Divide each side by '9'. x = -1.111111111 Simplifying x = -1.111111111Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-1.111111111, -1}
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