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Simplifying 28x2 + 85x + 48 = 0 Reorder the terms: 48 + 85x + 28x2 = 0 Solving 48 + 85x + 28x2 = 0 Solving for variable 'x'. Factor a trinomial. (16 + 7x)(3 + 4x) = 0Subproblem 1
Set the factor '(16 + 7x)' equal to zero and attempt to solve: Simplifying 16 + 7x = 0 Solving 16 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 7x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 7x = 0 + -16 7x = 0 + -16 Combine like terms: 0 + -16 = -16 7x = -16 Divide each side by '7'. x = -2.285714286 Simplifying x = -2.285714286Subproblem 2
Set the factor '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 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 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75Solution
x = {-2.285714286, -0.75}
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