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Simplifying (5 + -1x)(9 + -8x) = 0 Multiply (5 + -1x) * (9 + -8x) (5(9 + -8x) + -1x * (9 + -8x)) = 0 ((9 * 5 + -8x * 5) + -1x * (9 + -8x)) = 0 ((45 + -40x) + -1x * (9 + -8x)) = 0 (45 + -40x + (9 * -1x + -8x * -1x)) = 0 (45 + -40x + (-9x + 8x2)) = 0 Combine like terms: -40x + -9x = -49x (45 + -49x + 8x2) = 0 Solving 45 + -49x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + -8x)(5 + -1x) = 0Subproblem 1
Set the factor '(9 + -8x)' equal to zero and attempt to solve: Simplifying 9 + -8x = 0 Solving 9 + -8x = 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 + -8x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8x = 0 + -9 -8x = 0 + -9 Combine like terms: 0 + -9 = -9 -8x = -9 Divide each side by '-8'. x = 1.125 Simplifying x = 1.125Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {1.125, 5}
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