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Simplifying (x + -11)(5x + 1) = 0 Reorder the terms: (-11 + x)(5x + 1) = 0 Reorder the terms: (-11 + x)(1 + 5x) = 0 Multiply (-11 + x) * (1 + 5x) (-11(1 + 5x) + x(1 + 5x)) = 0 ((1 * -11 + 5x * -11) + x(1 + 5x)) = 0 ((-11 + -55x) + x(1 + 5x)) = 0 (-11 + -55x + (1 * x + 5x * x)) = 0 (-11 + -55x + (1x + 5x2)) = 0 Combine like terms: -55x + 1x = -54x (-11 + -54x + 5x2) = 0 Solving -11 + -54x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -5x)(11 + -1x) = 0Subproblem 1
Set the factor '(-1 + -5x)' equal to zero and attempt to solve: Simplifying -1 + -5x = 0 Solving -1 + -5x = 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 + -5x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 0 + 1 -5x = 0 + 1 Combine like terms: 0 + 1 = 1 -5x = 1 Divide each side by '-5'. x = -0.2 Simplifying x = -0.2Subproblem 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 = {-0.2, 11}
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