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Simplifying x(14x + 69) = -27 Reorder the terms: x(69 + 14x) = -27 (69 * x + 14x * x) = -27 (69x + 14x2) = -27 Solving 69x + 14x2 = -27 Solving for variable 'x'. Reorder the terms: 27 + 69x + 14x2 = -27 + 27 Combine like terms: -27 + 27 = 0 27 + 69x + 14x2 = 0 Factor a trinomial. (9 + 2x)(3 + 7x) = 0Subproblem 1
Set the factor '(9 + 2x)' equal to zero and attempt to solve: Simplifying 9 + 2x = 0 Solving 9 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 0 + -9 2x = 0 + -9 Combine like terms: 0 + -9 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5Subproblem 2
Set the factor '(3 + 7x)' equal to zero and attempt to solve: Simplifying 3 + 7x = 0 Solving 3 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 0 + -3 7x = 0 + -3 Combine like terms: 0 + -3 = -3 7x = -3 Divide each side by '7'. x = -0.4285714286 Simplifying x = -0.4285714286Solution
x = {-4.5, -0.4285714286}
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