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Simplifying 25x2 + -20x + -192 = 0 Reorder the terms: -192 + -20x + 25x2 = 0 Solving -192 + -20x + 25x2 = 0 Solving for variable 'x'. Factor a trinomial. (-12 + -5x)(16 + -5x) = 0Subproblem 1
Set the factor '(-12 + -5x)' equal to zero and attempt to solve: Simplifying -12 + -5x = 0 Solving -12 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -5x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -5x = 0 + 12 -5x = 0 + 12 Combine like terms: 0 + 12 = 12 -5x = 12 Divide each side by '-5'. x = -2.4 Simplifying x = -2.4Subproblem 2
Set the factor '(16 + -5x)' equal to zero and attempt to solve: Simplifying 16 + -5x = 0 Solving 16 + -5x = 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 + -5x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -5x = 0 + -16 -5x = 0 + -16 Combine like terms: 0 + -16 = -16 -5x = -16 Divide each side by '-5'. x = 3.2 Simplifying x = 3.2Solution
x = {-2.4, 3.2}
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