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Simplifying 21x2 = -22x + -5 Reorder the terms: 21x2 = -5 + -22x Solving 21x2 = -5 + -22x Solving for variable 'x'. Reorder the terms: 5 + 22x + 21x2 = -5 + -22x + 5 + 22x Reorder the terms: 5 + 22x + 21x2 = -5 + 5 + -22x + 22x Combine like terms: -5 + 5 = 0 5 + 22x + 21x2 = 0 + -22x + 22x 5 + 22x + 21x2 = -22x + 22x Combine like terms: -22x + 22x = 0 5 + 22x + 21x2 = 0 Factor a trinomial. (5 + 7x)(1 + 3x) = 0Subproblem 1
Set the factor '(5 + 7x)' equal to zero and attempt to solve: Simplifying 5 + 7x = 0 Solving 5 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 0 + -5 7x = 0 + -5 Combine like terms: 0 + -5 = -5 7x = -5 Divide each side by '7'. x = -0.7142857143 Simplifying x = -0.7142857143Subproblem 2
Set the factor '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333Solution
x = {-0.7142857143, -0.3333333333}
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