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Simplifying (4x2 + 6x + 2) + (9x2 + 9x) = 0 Reorder the terms: (2 + 6x + 4x2) + (9x2 + 9x) = 0 Remove parenthesis around (2 + 6x + 4x2) 2 + 6x + 4x2 + (9x2 + 9x) = 0 Reorder the terms: 2 + 6x + 4x2 + (9x + 9x2) = 0 Remove parenthesis around (9x + 9x2) 2 + 6x + 4x2 + 9x + 9x2 = 0 Reorder the terms: 2 + 6x + 9x + 4x2 + 9x2 = 0 Combine like terms: 6x + 9x = 15x 2 + 15x + 4x2 + 9x2 = 0 Combine like terms: 4x2 + 9x2 = 13x2 2 + 15x + 13x2 = 0 Solving 2 + 15x + 13x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + x)(2 + 13x) = 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 '(2 + 13x)' equal to zero and attempt to solve: Simplifying 2 + 13x = 0 Solving 2 + 13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 13x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 13x = 0 + -2 13x = 0 + -2 Combine like terms: 0 + -2 = -2 13x = -2 Divide each side by '13'. x = -0.1538461538 Simplifying x = -0.1538461538Solution
x = {-1, -0.1538461538}
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