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Simplifying 3x2 + -25x + -28 = 0 Reorder the terms: -28 + -25x + 3x2 = 0 Solving -28 + -25x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -1x)(28 + -3x) = 0Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 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 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
Set the factor '(28 + -3x)' equal to zero and attempt to solve: Simplifying 28 + -3x = 0 Solving 28 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -3x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -3x = 0 + -28 -3x = 0 + -28 Combine like terms: 0 + -28 = -28 -3x = -28 Divide each side by '-3'. x = 9.333333333 Simplifying x = 9.333333333Solution
x = {-1, 9.333333333}
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