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Simplifying 34x2 = 55x + 89 Reorder the terms: 34x2 = 89 + 55x Solving 34x2 = 89 + 55x Solving for variable 'x'. Reorder the terms: -89 + -55x + 34x2 = 89 + 55x + -89 + -55x Reorder the terms: -89 + -55x + 34x2 = 89 + -89 + 55x + -55x Combine like terms: 89 + -89 = 0 -89 + -55x + 34x2 = 0 + 55x + -55x -89 + -55x + 34x2 = 55x + -55x Combine like terms: 55x + -55x = 0 -89 + -55x + 34x2 = 0 Factor a trinomial. (-1 + -1x)(89 + -34x) = 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 '(89 + -34x)' equal to zero and attempt to solve: Simplifying 89 + -34x = 0 Solving 89 + -34x = 0 Move all terms containing x to the left, all other terms to the right. Add '-89' to each side of the equation. 89 + -89 + -34x = 0 + -89 Combine like terms: 89 + -89 = 0 0 + -34x = 0 + -89 -34x = 0 + -89 Combine like terms: 0 + -89 = -89 -34x = -89 Divide each side by '-34'. x = 2.617647059 Simplifying x = 2.617647059Solution
x = {-1, 2.617647059}
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