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Simplifying (5x + 3)(6x + -11) = 0 Reorder the terms: (3 + 5x)(6x + -11) = 0 Reorder the terms: (3 + 5x)(-11 + 6x) = 0 Multiply (3 + 5x) * (-11 + 6x) (3(-11 + 6x) + 5x * (-11 + 6x)) = 0 ((-11 * 3 + 6x * 3) + 5x * (-11 + 6x)) = 0 ((-33 + 18x) + 5x * (-11 + 6x)) = 0 (-33 + 18x + (-11 * 5x + 6x * 5x)) = 0 (-33 + 18x + (-55x + 30x2)) = 0 Combine like terms: 18x + -55x = -37x (-33 + -37x + 30x2) = 0 Solving -33 + -37x + 30x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -5x)(11 + -6x) = 0Subproblem 1
Set the factor '(-3 + -5x)' equal to zero and attempt to solve: Simplifying -3 + -5x = 0 Solving -3 + -5x = 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 + -5x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = 0 + 3 -5x = 0 + 3 Combine like terms: 0 + 3 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6Subproblem 2
Set the factor '(11 + -6x)' equal to zero and attempt to solve: Simplifying 11 + -6x = 0 Solving 11 + -6x = 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 + -6x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -6x = 0 + -11 -6x = 0 + -11 Combine like terms: 0 + -11 = -11 -6x = -11 Divide each side by '-6'. x = 1.833333333 Simplifying x = 1.833333333Solution
x = {-0.6, 1.833333333}
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