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Simplifying x2 + 9x + 3 = -3x2 + x Reorder the terms: 3 + 9x + x2 = -3x2 + x Reorder the terms: 3 + 9x + x2 = x + -3x2 Solving 3 + 9x + x2 = x + -3x2 Solving for variable 'x'. Reorder the terms: 3 + 9x + -1x + x2 + 3x2 = x + -3x2 + -1x + 3x2 Combine like terms: 9x + -1x = 8x 3 + 8x + x2 + 3x2 = x + -3x2 + -1x + 3x2 Combine like terms: x2 + 3x2 = 4x2 3 + 8x + 4x2 = x + -3x2 + -1x + 3x2 Reorder the terms: 3 + 8x + 4x2 = x + -1x + -3x2 + 3x2 Combine like terms: x + -1x = 0 3 + 8x + 4x2 = 0 + -3x2 + 3x2 3 + 8x + 4x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 3 + 8x + 4x2 = 0 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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