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Simplifying (3x2 + 2x + -5) + (x2 + 6x + 8) = 0 Reorder the terms: (-5 + 2x + 3x2) + (x2 + 6x + 8) = 0 Remove parenthesis around (-5 + 2x + 3x2) -5 + 2x + 3x2 + (x2 + 6x + 8) = 0 Reorder the terms: -5 + 2x + 3x2 + (8 + 6x + x2) = 0 Remove parenthesis around (8 + 6x + x2) -5 + 2x + 3x2 + 8 + 6x + x2 = 0 Reorder the terms: -5 + 8 + 2x + 6x + 3x2 + x2 = 0 Combine like terms: -5 + 8 = 3 3 + 2x + 6x + 3x2 + x2 = 0 Combine like terms: 2x + 6x = 8x 3 + 8x + 3x2 + x2 = 0 Combine like terms: 3x2 + x2 = 4x2 3 + 8x + 4x2 = 0 Solving 3 + 8x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + 2x)(1 + 2x) = 0Subproblem 1
Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 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 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Subproblem 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 = {-1.5, -0.5}
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