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Simplifying (2x + 5)(x + 1) = 2 Reorder the terms: (5 + 2x)(x + 1) = 2 Reorder the terms: (5 + 2x)(1 + x) = 2 Multiply (5 + 2x) * (1 + x) (5(1 + x) + 2x * (1 + x)) = 2 ((1 * 5 + x * 5) + 2x * (1 + x)) = 2 ((5 + 5x) + 2x * (1 + x)) = 2 (5 + 5x + (1 * 2x + x * 2x)) = 2 (5 + 5x + (2x + 2x2)) = 2 Combine like terms: 5x + 2x = 7x (5 + 7x + 2x2) = 2 Solving 5 + 7x + 2x2 = 2 Solving for variable 'x'. Reorder the terms: 5 + -2 + 7x + 2x2 = 2 + -2 Combine like terms: 5 + -2 = 3 3 + 7x + 2x2 = 2 + -2 Combine like terms: 2 + -2 = 0 3 + 7x + 2x2 = 0 Factor a trinomial. (3 + x)(1 + 2x) = 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 '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 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 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {-3, -0.5}
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