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Simplifying (x + 2)(4x + -11) = 0 Reorder the terms: (2 + x)(4x + -11) = 0 Reorder the terms: (2 + x)(-11 + 4x) = 0 Multiply (2 + x) * (-11 + 4x) (2(-11 + 4x) + x(-11 + 4x)) = 0 ((-11 * 2 + 4x * 2) + x(-11 + 4x)) = 0 ((-22 + 8x) + x(-11 + 4x)) = 0 (-22 + 8x + (-11 * x + 4x * x)) = 0 (-22 + 8x + (-11x + 4x2)) = 0 Combine like terms: 8x + -11x = -3x (-22 + -3x + 4x2) = 0 Solving -22 + -3x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -1x)(11 + -4x) = 0Subproblem 1
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 = -2Subproblem 2
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 = 2.75Solution
x = {-2, 2.75}
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