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Simplifying 0 = 4x2 + -3x + -22 Reorder the terms: 0 = -22 + -3x + 4x2 Solving 0 = -22 + -3x + 4x2 Solving for variable 'x'. Combine like terms: 0 + 22 = 22 22 + 3x + -4x2 = -22 + -3x + 4x2 + 22 + 3x + -4x2 Reorder the terms: 22 + 3x + -4x2 = -22 + 22 + -3x + 3x + 4x2 + -4x2 Combine like terms: -22 + 22 = 0 22 + 3x + -4x2 = 0 + -3x + 3x + 4x2 + -4x2 22 + 3x + -4x2 = -3x + 3x + 4x2 + -4x2 Combine like terms: -3x + 3x = 0 22 + 3x + -4x2 = 0 + 4x2 + -4x2 22 + 3x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 22 + 3x + -4x2 = 0 Factor a trinomial. (11 + -4x)(2 + x) = 0Subproblem 1
Set the factor '(11 + -4x)' equal to zero and attempt to solve: Simplifying 11 + -4x = 0 Solving 11 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -4x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -4x = 0 + -11 -4x = 0 + -11 Combine like terms: 0 + -11 = -11 -4x = -11 Divide each side by '-4'. x = 2.75 Simplifying x = 2.75Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {2.75, -2}
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