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Simplifying (4x2 + 6x) + (6x + 9) = 0 Reorder the terms: (6x + 4x2) + (6x + 9) = 0 Remove parenthesis around (6x + 4x2) 6x + 4x2 + (6x + 9) = 0 Reorder the terms: 6x + 4x2 + (9 + 6x) = 0 Remove parenthesis around (9 + 6x) 6x + 4x2 + 9 + 6x = 0 Reorder the terms: 9 + 6x + 6x + 4x2 = 0 Combine like terms: 6x + 6x = 12x 9 + 12x + 4x2 = 0 Solving 9 + 12x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + 2x)(3 + 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 '(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 = -1.5Solution
x = {-1.5, -1.5}
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