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Simplifying -1(x + -11)(3x + -1) = 0 Reorder the terms: -1(-11 + x)(3x + -1) = 0 Reorder the terms: -1(-11 + x)(-1 + 3x) = 0 Multiply (-11 + x) * (-1 + 3x) -1(-11(-1 + 3x) + x(-1 + 3x)) = 0 -1((-1 * -11 + 3x * -11) + x(-1 + 3x)) = 0 -1((11 + -33x) + x(-1 + 3x)) = 0 -1(11 + -33x + (-1 * x + 3x * x)) = 0 -1(11 + -33x + (-1x + 3x2)) = 0 Combine like terms: -33x + -1x = -34x -1(11 + -34x + 3x2) = 0 (11 * -1 + -34x * -1 + 3x2 * -1) = 0 (-11 + 34x + -3x2) = 0 Solving -11 + 34x + -3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-11 + x)(1 + -3x) = 0Subproblem 1
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 = 11Subproblem 2
Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333Solution
x = {11, 0.3333333333}
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