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Simplifying -4x2 + -5x + 84 = 0 Reorder the terms: 84 + -5x + -4x2 = 0 Solving 84 + -5x + -4x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + -1x)(21 + 4x) = 0Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 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 = {4, -5.25}
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