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Simplifying (9x2 + 9x + 6) + -1(3x2 + 2x + 4) = 0 Reorder the terms: (6 + 9x + 9x2) + -1(3x2 + 2x + 4) = 0 Remove parenthesis around (6 + 9x + 9x2) 6 + 9x + 9x2 + -1(3x2 + 2x + 4) = 0 Reorder the terms: 6 + 9x + 9x2 + -1(4 + 2x + 3x2) = 0 6 + 9x + 9x2 + (4 * -1 + 2x * -1 + 3x2 * -1) = 0 6 + 9x + 9x2 + (-4 + -2x + -3x2) = 0 Reorder the terms: 6 + -4 + 9x + -2x + 9x2 + -3x2 = 0 Combine like terms: 6 + -4 = 2 2 + 9x + -2x + 9x2 + -3x2 = 0 Combine like terms: 9x + -2x = 7x 2 + 7x + 9x2 + -3x2 = 0 Combine like terms: 9x2 + -3x2 = 6x2 2 + 7x + 6x2 = 0 Solving 2 + 7x + 6x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + 3x)(1 + 2x) = 0Subproblem 1
Set the factor '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 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 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667Subproblem 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 = {-0.6666666667, -0.5}
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