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Simplifying x2 + -45 = 19x + 21 Reorder the terms: -45 + x2 = 19x + 21 Reorder the terms: -45 + x2 = 21 + 19x Solving -45 + x2 = 21 + 19x Solving for variable 'x'. Reorder the terms: -45 + -21 + -19x + x2 = 21 + 19x + -21 + -19x Combine like terms: -45 + -21 = -66 -66 + -19x + x2 = 21 + 19x + -21 + -19x Reorder the terms: -66 + -19x + x2 = 21 + -21 + 19x + -19x Combine like terms: 21 + -21 = 0 -66 + -19x + x2 = 0 + 19x + -19x -66 + -19x + x2 = 19x + -19x Combine like terms: 19x + -19x = 0 -66 + -19x + x2 = 0 Factor a trinomial. (-3 + -1x)(22 + -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 '(22 + -1x)' equal to zero and attempt to solve: Simplifying 22 + -1x = 0 Solving 22 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -1x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -1x = 0 + -22 -1x = 0 + -22 Combine like terms: 0 + -22 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22Solution
x = {-3, 22}
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