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Simplifying 5(x + 2)(x + 2) + (x + 2) + -4 = 0 Reorder the terms: 5(2 + x)(x + 2) + (x + 2) + -4 = 0 Reorder the terms: 5(2 + x)(2 + x) + (x + 2) + -4 = 0 Multiply (2 + x) * (2 + x) 5(2(2 + x) + x(2 + x)) + (x + 2) + -4 = 0 5((2 * 2 + x * 2) + x(2 + x)) + (x + 2) + -4 = 0 5((4 + 2x) + x(2 + x)) + (x + 2) + -4 = 0 5(4 + 2x + (2 * x + x * x)) + (x + 2) + -4 = 0 5(4 + 2x + (2x + x2)) + (x + 2) + -4 = 0 Combine like terms: 2x + 2x = 4x 5(4 + 4x + x2) + (x + 2) + -4 = 0 (4 * 5 + 4x * 5 + x2 * 5) + (x + 2) + -4 = 0 (20 + 20x + 5x2) + (x + 2) + -4 = 0 Reorder the terms: 20 + 20x + 5x2 + (2 + x) + -4 = 0 Remove parenthesis around (2 + x) 20 + 20x + 5x2 + 2 + x + -4 = 0 Reorder the terms: 20 + 2 + -4 + 20x + x + 5x2 = 0 Combine like terms: 20 + 2 = 22 22 + -4 + 20x + x + 5x2 = 0 Combine like terms: 22 + -4 = 18 18 + 20x + x + 5x2 = 0 Combine like terms: 20x + x = 21x 18 + 21x + 5x2 = 0 Solving 18 + 21x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + x)(6 + 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 '(6 + 5x)' equal to zero and attempt to solve: Simplifying 6 + 5x = 0 Solving 6 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 0 + -6 5x = 0 + -6 Combine like terms: 0 + -6 = -6 5x = -6 Divide each side by '5'. x = -1.2 Simplifying x = -1.2Solution
x = {-3, -1.2}
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