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Simplifying 0 = 4x2 + -53x + 168 Reorder the terms: 0 = 168 + -53x + 4x2 Solving 0 = 168 + -53x + 4x2 Solving for variable 'x'. Combine like terms: 0 + -168 = -168 -168 + 53x + -4x2 = 168 + -53x + 4x2 + -168 + 53x + -4x2 Reorder the terms: -168 + 53x + -4x2 = 168 + -168 + -53x + 53x + 4x2 + -4x2 Combine like terms: 168 + -168 = 0 -168 + 53x + -4x2 = 0 + -53x + 53x + 4x2 + -4x2 -168 + 53x + -4x2 = -53x + 53x + 4x2 + -4x2 Combine like terms: -53x + 53x = 0 -168 + 53x + -4x2 = 0 + 4x2 + -4x2 -168 + 53x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -168 + 53x + -4x2 = 0 Factor a trinomial. (-8 + x)(21 + -4x) = 0Subproblem 1
Set the factor '(-8 + x)' equal to zero and attempt to solve: Simplifying -8 + x = 0 Solving -8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x = 0 + 8 x = 0 + 8 Combine like terms: 0 + 8 = 8 x = 8 Simplifying x = 8Subproblem 2
Set the factor '(21 + -4x)' equal to zero and attempt to solve: Simplifying 21 + -4x = 0 Solving 21 + -4x = 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 + -4x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -4x = 0 + -21 -4x = 0 + -21 Combine like terms: 0 + -21 = -21 -4x = -21 Divide each side by '-4'. x = 5.25 Simplifying x = 5.25Solution
x = {8, 5.25}
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