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Simplifying 4x2 + 12x + 8 = 3 Reorder the terms: 8 + 12x + 4x2 = 3 Solving 8 + 12x + 4x2 = 3 Solving for variable 'x'. Reorder the terms: 8 + -3 + 12x + 4x2 = 3 + -3 Combine like terms: 8 + -3 = 5 5 + 12x + 4x2 = 3 + -3 Combine like terms: 3 + -3 = 0 5 + 12x + 4x2 = 0 Factor a trinomial. (5 + 2x)(1 + 2x) = 0Subproblem 1
Set the factor '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5Subproblem 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 = {-2.5, -0.5}
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