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Simplifying 4x2 + -9x + -243 = 0 Reorder the terms: -243 + -9x + 4x2 = 0 Solving -243 + -9x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-27 + -4x)(9 + -1x) = 0Subproblem 1
Set the factor '(-27 + -4x)' equal to zero and attempt to solve: Simplifying -27 + -4x = 0 Solving -27 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -4x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -4x = 0 + 27 -4x = 0 + 27 Combine like terms: 0 + 27 = 27 -4x = 27 Divide each side by '-4'. x = -6.75 Simplifying x = -6.75Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-6.75, 9}
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