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Simplifying 21x2 = -43x + 14 Reorder the terms: 21x2 = 14 + -43x Solving 21x2 = 14 + -43x Solving for variable 'x'. Reorder the terms: -14 + 43x + 21x2 = 14 + -43x + -14 + 43x Reorder the terms: -14 + 43x + 21x2 = 14 + -14 + -43x + 43x Combine like terms: 14 + -14 = 0 -14 + 43x + 21x2 = 0 + -43x + 43x -14 + 43x + 21x2 = -43x + 43x Combine like terms: -43x + 43x = 0 -14 + 43x + 21x2 = 0 Factor a trinomial. (-7 + -3x)(2 + -7x) = 0Subproblem 1
Set the factor '(-7 + -3x)' equal to zero and attempt to solve: Simplifying -7 + -3x = 0 Solving -7 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 0 + 7 -3x = 0 + 7 Combine like terms: 0 + 7 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333Subproblem 2
Set the factor '(2 + -7x)' equal to zero and attempt to solve: Simplifying 2 + -7x = 0 Solving 2 + -7x = 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 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857Solution
x = {-2.333333333, 0.2857142857}
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