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Simplifying 2x2 + -5x + -20 = x2 + -9x + 1 Reorder the terms: -20 + -5x + 2x2 = x2 + -9x + 1 Reorder the terms: -20 + -5x + 2x2 = 1 + -9x + x2 Solving -20 + -5x + 2x2 = 1 + -9x + x2 Solving for variable 'x'. Reorder the terms: -20 + -1 + -5x + 9x + 2x2 + -1x2 = 1 + -9x + x2 + -1 + 9x + -1x2 Combine like terms: -20 + -1 = -21 -21 + -5x + 9x + 2x2 + -1x2 = 1 + -9x + x2 + -1 + 9x + -1x2 Combine like terms: -5x + 9x = 4x -21 + 4x + 2x2 + -1x2 = 1 + -9x + x2 + -1 + 9x + -1x2 Combine like terms: 2x2 + -1x2 = 1x2 -21 + 4x + 1x2 = 1 + -9x + x2 + -1 + 9x + -1x2 Reorder the terms: -21 + 4x + 1x2 = 1 + -1 + -9x + 9x + x2 + -1x2 Combine like terms: 1 + -1 = 0 -21 + 4x + 1x2 = 0 + -9x + 9x + x2 + -1x2 -21 + 4x + 1x2 = -9x + 9x + x2 + -1x2 Combine like terms: -9x + 9x = 0 -21 + 4x + 1x2 = 0 + x2 + -1x2 -21 + 4x + 1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -21 + 4x + 1x2 = 0 Factor a trinomial. (-7 + -1x)(3 + -1x) = 0Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 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 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-7, 3}
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