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Simplifying 5x2 + -64x + 108 = 0 Reorder the terms: 108 + -64x + 5x2 = 0 Solving 108 + -64x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -1x)(54 + -5x) = 0Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(54 + -5x)' equal to zero and attempt to solve: Simplifying 54 + -5x = 0 Solving 54 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + -5x = 0 + -54 Combine like terms: 54 + -54 = 0 0 + -5x = 0 + -54 -5x = 0 + -54 Combine like terms: 0 + -54 = -54 -5x = -54 Divide each side by '-5'. x = 10.8 Simplifying x = 10.8Solution
x = {2, 10.8}
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