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Simplifying (2x + 3)(x + -11) = 0 Reorder the terms: (3 + 2x)(x + -11) = 0 Reorder the terms: (3 + 2x)(-11 + x) = 0 Multiply (3 + 2x) * (-11 + x) (3(-11 + x) + 2x * (-11 + x)) = 0 ((-11 * 3 + x * 3) + 2x * (-11 + x)) = 0 ((-33 + 3x) + 2x * (-11 + x)) = 0 (-33 + 3x + (-11 * 2x + x * 2x)) = 0 (-33 + 3x + (-22x + 2x2)) = 0 Combine like terms: 3x + -22x = -19x (-33 + -19x + 2x2) = 0 Solving -33 + -19x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -2x)(11 + -1x) = 0Subproblem 1
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 = -1.5Subproblem 2
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 = 11Solution
x = {-1.5, 11}
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