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Simplifying (-5x + 3)(x + 11) = 0 Reorder the terms: (3 + -5x)(x + 11) = 0 Reorder the terms: (3 + -5x)(11 + x) = 0 Multiply (3 + -5x) * (11 + x) (3(11 + x) + -5x * (11 + x)) = 0 ((11 * 3 + x * 3) + -5x * (11 + x)) = 0 ((33 + 3x) + -5x * (11 + x)) = 0 (33 + 3x + (11 * -5x + x * -5x)) = 0 (33 + 3x + (-55x + -5x2)) = 0 Combine like terms: 3x + -55x = -52x (33 + -52x + -5x2) = 0 Solving 33 + -52x + -5x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -5x)(11 + x) = 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 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 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 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11Solution
x = {0.6, -11}
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