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Simplifying x2 + -9x + 33 = 4x + 3 Reorder the terms: 33 + -9x + x2 = 4x + 3 Reorder the terms: 33 + -9x + x2 = 3 + 4x Solving 33 + -9x + x2 = 3 + 4x Solving for variable 'x'. Reorder the terms: 33 + -3 + -9x + -4x + x2 = 3 + 4x + -3 + -4x Combine like terms: 33 + -3 = 30 30 + -9x + -4x + x2 = 3 + 4x + -3 + -4x Combine like terms: -9x + -4x = -13x 30 + -13x + x2 = 3 + 4x + -3 + -4x Reorder the terms: 30 + -13x + x2 = 3 + -3 + 4x + -4x Combine like terms: 3 + -3 = 0 30 + -13x + x2 = 0 + 4x + -4x 30 + -13x + x2 = 4x + -4x Combine like terms: 4x + -4x = 0 30 + -13x + x2 = 0 Factor a trinomial. (3 + -1x)(10 + -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 '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {3, 10}
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