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Simplifying -1x2 + 22x + -10 = 30 Reorder the terms: -10 + 22x + -1x2 = 30 Solving -10 + 22x + -1x2 = 30 Solving for variable 'x'. Reorder the terms: -10 + -30 + 22x + -1x2 = 30 + -30 Combine like terms: -10 + -30 = -40 -40 + 22x + -1x2 = 30 + -30 Combine like terms: 30 + -30 = 0 -40 + 22x + -1x2 = 0 Factor a trinomial. (-20 + x)(2 + -1x) = 0Subproblem 1
Set the factor '(-20 + x)' equal to zero and attempt to solve: Simplifying -20 + x = 0 Solving -20 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + x = 0 + 20 x = 0 + 20 Combine like terms: 0 + 20 = 20 x = 20 Simplifying x = 20Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {20, 2}
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