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Simplifying 3x2 + -25x = 2x2 + -3x + -21 Reorder the terms: -25x + 3x2 = 2x2 + -3x + -21 Reorder the terms: -25x + 3x2 = -21 + -3x + 2x2 Solving -25x + 3x2 = -21 + -3x + 2x2 Solving for variable 'x'. Reorder the terms: 21 + -25x + 3x + 3x2 + -2x2 = -21 + -3x + 2x2 + 21 + 3x + -2x2 Combine like terms: -25x + 3x = -22x 21 + -22x + 3x2 + -2x2 = -21 + -3x + 2x2 + 21 + 3x + -2x2 Combine like terms: 3x2 + -2x2 = 1x2 21 + -22x + 1x2 = -21 + -3x + 2x2 + 21 + 3x + -2x2 Reorder the terms: 21 + -22x + 1x2 = -21 + 21 + -3x + 3x + 2x2 + -2x2 Combine like terms: -21 + 21 = 0 21 + -22x + 1x2 = 0 + -3x + 3x + 2x2 + -2x2 21 + -22x + 1x2 = -3x + 3x + 2x2 + -2x2 Combine like terms: -3x + 3x = 0 21 + -22x + 1x2 = 0 + 2x2 + -2x2 21 + -22x + 1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 21 + -22x + 1x2 = 0 Factor a trinomial. (1 + -1x)(21 + -1x) = 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 '(21 + -1x)' equal to zero and attempt to solve: Simplifying 21 + -1x = 0 Solving 21 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -1x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = 0 + -21 -1x = 0 + -21 Combine like terms: 0 + -21 = -21 -1x = -21 Divide each side by '-1'. x = 21 Simplifying x = 21Solution
x = {1, 21}
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