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Simplifying x2 + 3x + 7 = 9x + -2 Reorder the terms: 7 + 3x + x2 = 9x + -2 Reorder the terms: 7 + 3x + x2 = -2 + 9x Solving 7 + 3x + x2 = -2 + 9x Solving for variable 'x'. Reorder the terms: 7 + 2 + 3x + -9x + x2 = -2 + 9x + 2 + -9x Combine like terms: 7 + 2 = 9 9 + 3x + -9x + x2 = -2 + 9x + 2 + -9x Combine like terms: 3x + -9x = -6x 9 + -6x + x2 = -2 + 9x + 2 + -9x Reorder the terms: 9 + -6x + x2 = -2 + 2 + 9x + -9x Combine like terms: -2 + 2 = 0 9 + -6x + x2 = 0 + 9x + -9x 9 + -6x + x2 = 9x + -9x Combine like terms: 9x + -9x = 0 9 + -6x + x2 = 0 Factor a trinomial. (3 + -1x)(3 + -1x) = 0Subproblem 1
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 = 3Subproblem 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 = {3, 3}
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