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Simplifying 21x2 = 34x + 55 Reorder the terms: 21x2 = 55 + 34x Solving 21x2 = 55 + 34x Solving for variable 'x'. Reorder the terms: -55 + -34x + 21x2 = 55 + 34x + -55 + -34x Reorder the terms: -55 + -34x + 21x2 = 55 + -55 + 34x + -34x Combine like terms: 55 + -55 = 0 -55 + -34x + 21x2 = 0 + 34x + -34x -55 + -34x + 21x2 = 34x + -34x Combine like terms: 34x + -34x = 0 -55 + -34x + 21x2 = 0 Factor a trinomial. (-1 + -1x)(55 + -21x) = 0Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 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 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
Set the factor '(55 + -21x)' equal to zero and attempt to solve: Simplifying 55 + -21x = 0 Solving 55 + -21x = 0 Move all terms containing x to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + -21x = 0 + -55 Combine like terms: 55 + -55 = 0 0 + -21x = 0 + -55 -21x = 0 + -55 Combine like terms: 0 + -55 = -55 -21x = -55 Divide each side by '-21'. x = 2.619047619 Simplifying x = 2.619047619Solution
x = {-1, 2.619047619}
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