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Simplifying (x + 11)(2x + -3) = 0 Reorder the terms: (11 + x)(2x + -3) = 0 Reorder the terms: (11 + x)(-3 + 2x) = 0 Multiply (11 + x) * (-3 + 2x) (11(-3 + 2x) + x(-3 + 2x)) = 0 ((-3 * 11 + 2x * 11) + x(-3 + 2x)) = 0 ((-33 + 22x) + x(-3 + 2x)) = 0 (-33 + 22x + (-3 * x + 2x * x)) = 0 (-33 + 22x + (-3x + 2x2)) = 0 Combine like terms: 22x + -3x = 19x (-33 + 19x + 2x2) = 0 Solving -33 + 19x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-11 + -1x)(3 + -2x) = 0Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve: Simplifying -11 + -1x = 0 Solving -11 + -1x = 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 + -1x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 0 + 11 -1x = 0 + 11 Combine like terms: 0 + 11 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {-11, 1.5}
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