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Simplifying (4x + 1)(-1x + 9) = 0 Reorder the terms: (1 + 4x)(-1x + 9) = 0 Reorder the terms: (1 + 4x)(9 + -1x) = 0 Multiply (1 + 4x) * (9 + -1x) (1(9 + -1x) + 4x * (9 + -1x)) = 0 ((9 * 1 + -1x * 1) + 4x * (9 + -1x)) = 0 ((9 + -1x) + 4x * (9 + -1x)) = 0 (9 + -1x + (9 * 4x + -1x * 4x)) = 0 (9 + -1x + (36x + -4x2)) = 0 Combine like terms: -1x + 36x = 35x (9 + 35x + -4x2) = 0 Solving 9 + 35x + -4x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + -1x)(1 + 4x) = 0Subproblem 1
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 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 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Subproblem 2
Set the factor '(1 + 4x)' equal to zero and attempt to solve: Simplifying 1 + 4x = 0 Solving 1 + 4x = 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 + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 0 + -1 4x = 0 + -1 Combine like terms: 0 + -1 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25Solution
x = {9, -0.25}
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