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Simplifying (1 + -1x)(9 + -5x) = 0 Multiply (1 + -1x) * (9 + -5x) (1(9 + -5x) + -1x * (9 + -5x)) = 0 ((9 * 1 + -5x * 1) + -1x * (9 + -5x)) = 0 ((9 + -5x) + -1x * (9 + -5x)) = 0 (9 + -5x + (9 * -1x + -5x * -1x)) = 0 (9 + -5x + (-9x + 5x2)) = 0 Combine like terms: -5x + -9x = -14x (9 + -14x + 5x2) = 0 Solving 9 + -14x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -1x)(9 + -5x) = 0Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(9 + -5x)' equal to zero and attempt to solve: Simplifying 9 + -5x = 0 Solving 9 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = 0 + -9 -5x = 0 + -9 Combine like terms: 0 + -9 = -9 -5x = -9 Divide each side by '-5'. x = 1.8 Simplifying x = 1.8Solution
x = {1, 1.8}
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