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Simplifying 60x2 + 83x + 28 = 0 Reorder the terms: 28 + 83x + 60x2 = 0 Solving 28 + 83x + 60x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + 5x)(7 + 12x) = 0Subproblem 1
Set the factor '(4 + 5x)' equal to zero and attempt to solve: Simplifying 4 + 5x = 0 Solving 4 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 0 + -4 5x = 0 + -4 Combine like terms: 0 + -4 = -4 5x = -4 Divide each side by '5'. x = -0.8 Simplifying x = -0.8Subproblem 2
Set the factor '(7 + 12x)' equal to zero and attempt to solve: Simplifying 7 + 12x = 0 Solving 7 + 12x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 12x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 12x = 0 + -7 12x = 0 + -7 Combine like terms: 0 + -7 = -7 12x = -7 Divide each side by '12'. x = -0.5833333333 Simplifying x = -0.5833333333Solution
x = {-0.8, -0.5833333333}
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