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Simplifying 9x2 + 54x + 81 = 256x + -192 Reorder the terms: 81 + 54x + 9x2 = 256x + -192 Reorder the terms: 81 + 54x + 9x2 = -192 + 256x Solving 81 + 54x + 9x2 = -192 + 256x Solving for variable 'x'. Reorder the terms: 81 + 192 + 54x + -256x + 9x2 = -192 + 256x + 192 + -256x Combine like terms: 81 + 192 = 273 273 + 54x + -256x + 9x2 = -192 + 256x + 192 + -256x Combine like terms: 54x + -256x = -202x 273 + -202x + 9x2 = -192 + 256x + 192 + -256x Reorder the terms: 273 + -202x + 9x2 = -192 + 192 + 256x + -256x Combine like terms: -192 + 192 = 0 273 + -202x + 9x2 = 0 + 256x + -256x 273 + -202x + 9x2 = 256x + -256x Combine like terms: 256x + -256x = 0 273 + -202x + 9x2 = 0 Factor a trinomial. (13 + -9x)(21 + -1x) = 0Subproblem 1
Set the factor '(13 + -9x)' equal to zero and attempt to solve: Simplifying 13 + -9x = 0 Solving 13 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -9x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -9x = 0 + -13 -9x = 0 + -13 Combine like terms: 0 + -13 = -13 -9x = -13 Divide each side by '-9'. x = 1.444444444 Simplifying x = 1.444444444Subproblem 2
Set the factor '(21 + -1x)' equal to zero and attempt to solve: Simplifying 21 + -1x = 0 Solving 21 + -1x = 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 + -1x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = 0 + -21 -1x = 0 + -21 Combine like terms: 0 + -21 = -21 -1x = -21 Divide each side by '-1'. x = 21 Simplifying x = 21Solution
x = {1.444444444, 21}
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