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Simplifying (x + 1)(5x + 3) = 0 Reorder the terms: (1 + x)(5x + 3) = 0 Reorder the terms: (1 + x)(3 + 5x) = 0 Multiply (1 + x) * (3 + 5x) (1(3 + 5x) + x(3 + 5x)) = 0 ((3 * 1 + 5x * 1) + x(3 + 5x)) = 0 ((3 + 5x) + x(3 + 5x)) = 0 (3 + 5x + (3 * x + 5x * x)) = 0 (3 + 5x + (3x + 5x2)) = 0 Combine like terms: 5x + 3x = 8x (3 + 8x + 5x2) = 0 Solving 3 + 8x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + x)(3 + 5x) = 0Subproblem 1
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 = -1Subproblem 2
Set the factor '(3 + 5x)' equal to zero and attempt to solve: Simplifying 3 + 5x = 0 Solving 3 + 5x = 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 + 5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 0 + -3 5x = 0 + -3 Combine like terms: 0 + -3 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6Solution
x = {-1, -0.6}
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