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Simplifying x(5x + 29) + 42 = 0 Reorder the terms: x(29 + 5x) + 42 = 0 (29 * x + 5x * x) + 42 = 0 (29x + 5x2) + 42 = 0 Reorder the terms: 42 + 29x + 5x2 = 0 Solving 42 + 29x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + x)(14 + 5x) = 0Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 2
Set the factor '(14 + 5x)' equal to zero and attempt to solve: Simplifying 14 + 5x = 0 Solving 14 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 5x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 5x = 0 + -14 5x = 0 + -14 Combine like terms: 0 + -14 = -14 5x = -14 Divide each side by '5'. x = -2.8 Simplifying x = -2.8Solution
x = {-3, -2.8}
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