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Simplifying 3x2 + 25x = 28 Reorder the terms: 25x + 3x2 = 28 Solving 25x + 3x2 = 28 Solving for variable 'x'. Reorder the terms: -28 + 25x + 3x2 = 28 + -28 Combine like terms: 28 + -28 = 0 -28 + 25x + 3x2 = 0 Factor a trinomial. (-28 + -3x)(1 + -1x) = 0Subproblem 1
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 = -9.333333333Subproblem 2
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 = 1Solution
x = {-9.333333333, 1}
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