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Simplifying 0 = -4x2 + 5x + 9 Reorder the terms: 0 = 9 + 5x + -4x2 Solving 0 = 9 + 5x + -4x2 Solving for variable 'x'. Combine like terms: 0 + -9 = -9 -9 + -5x + 4x2 = 9 + 5x + -4x2 + -9 + -5x + 4x2 Reorder the terms: -9 + -5x + 4x2 = 9 + -9 + 5x + -5x + -4x2 + 4x2 Combine like terms: 9 + -9 = 0 -9 + -5x + 4x2 = 0 + 5x + -5x + -4x2 + 4x2 -9 + -5x + 4x2 = 5x + -5x + -4x2 + 4x2 Combine like terms: 5x + -5x = 0 -9 + -5x + 4x2 = 0 + -4x2 + 4x2 -9 + -5x + 4x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 -9 + -5x + 4x2 = 0 Factor a trinomial. (-1 + -1x)(9 + -4x) = 0Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
Set the factor '(9 + -4x)' equal to zero and attempt to solve: Simplifying 9 + -4x = 0 Solving 9 + -4x = 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 + -4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 0 + -9 -4x = 0 + -9 Combine like terms: 0 + -9 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25Solution
x = {-1, 2.25}
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