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Simplifying 4x2 + 19x + -54 = 0 Reorder the terms: -54 + 19x + 4x2 = 0 Solving -54 + 19x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-27 + -4x)(2 + -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 '(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 = 2Solution
x = {-6.75, 2}
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