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Simplifying (3x + 11)(2x + -4) = 0 Reorder the terms: (11 + 3x)(2x + -4) = 0 Reorder the terms: (11 + 3x)(-4 + 2x) = 0 Multiply (11 + 3x) * (-4 + 2x) (11(-4 + 2x) + 3x * (-4 + 2x)) = 0 ((-4 * 11 + 2x * 11) + 3x * (-4 + 2x)) = 0 ((-44 + 22x) + 3x * (-4 + 2x)) = 0 (-44 + 22x + (-4 * 3x + 2x * 3x)) = 0 (-44 + 22x + (-12x + 6x2)) = 0 Combine like terms: 22x + -12x = 10x (-44 + 10x + 6x2) = 0 Solving -44 + 10x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-22 + 5x + 3x2) = 0 Factor a trinomial. 2((-11 + -3x)(2 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-11 + -3x)' equal to zero and attempt to solve: Simplifying -11 + -3x = 0 Solving -11 + -3x = 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 + -3x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -3x = 0 + 11 -3x = 0 + 11 Combine like terms: 0 + 11 = 11 -3x = 11 Divide each side by '-3'. x = -3.666666667 Simplifying x = -3.666666667Subproblem 2
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 = 2Solution
x = {-3.666666667, 2}
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