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Simplifying 4x2 + 4x + -22 = 6 + -5x Reorder the terms: -22 + 4x + 4x2 = 6 + -5x Solving -22 + 4x + 4x2 = 6 + -5x Solving for variable 'x'. Reorder the terms: -22 + -6 + 4x + 5x + 4x2 = 6 + -5x + -6 + 5x Combine like terms: -22 + -6 = -28 -28 + 4x + 5x + 4x2 = 6 + -5x + -6 + 5x Combine like terms: 4x + 5x = 9x -28 + 9x + 4x2 = 6 + -5x + -6 + 5x Reorder the terms: -28 + 9x + 4x2 = 6 + -6 + -5x + 5x Combine like terms: 6 + -6 = 0 -28 + 9x + 4x2 = 0 + -5x + 5x -28 + 9x + 4x2 = -5x + 5x Combine like terms: -5x + 5x = 0 -28 + 9x + 4x2 = 0 Factor a trinomial. (-4 + -1x)(7 + -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 '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75Solution
x = {-4, 1.75}
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