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Simplifying 53x2 + -233x + 84 = 0 Reorder the terms: 84 + -233x + 53x2 = 0 Solving 84 + -233x + 53x2 = 0 Solving for variable 'x'. Factor a trinomial. (21 + -53x)(4 + -1x) = 0Subproblem 1
Set the factor '(21 + -53x)' equal to zero and attempt to solve: Simplifying 21 + -53x = 0 Solving 21 + -53x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -53x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -53x = 0 + -21 -53x = 0 + -21 Combine like terms: 0 + -21 = -21 -53x = -21 Divide each side by '-53'. x = 0.3962264151 Simplifying x = 0.3962264151Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {0.3962264151, 4}
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