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Simplifying (10x + 9)(7x + 1) = 0 Reorder the terms: (9 + 10x)(7x + 1) = 0 Reorder the terms: (9 + 10x)(1 + 7x) = 0 Multiply (9 + 10x) * (1 + 7x) (9(1 + 7x) + 10x * (1 + 7x)) = 0 ((1 * 9 + 7x * 9) + 10x * (1 + 7x)) = 0 ((9 + 63x) + 10x * (1 + 7x)) = 0 (9 + 63x + (1 * 10x + 7x * 10x)) = 0 (9 + 63x + (10x + 70x2)) = 0 Combine like terms: 63x + 10x = 73x (9 + 73x + 70x2) = 0 Solving 9 + 73x + 70x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + 10x)(1 + 7x) = 0Subproblem 1
Set the factor '(9 + 10x)' equal to zero and attempt to solve: Simplifying 9 + 10x = 0 Solving 9 + 10x = 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 + 10x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 10x = 0 + -9 10x = 0 + -9 Combine like terms: 0 + -9 = -9 10x = -9 Divide each side by '10'. x = -0.9 Simplifying x = -0.9Subproblem 2
Set the factor '(1 + 7x)' equal to zero and attempt to solve: Simplifying 1 + 7x = 0 Solving 1 + 7x = 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 + 7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 0 + -1 7x = 0 + -1 Combine like terms: 0 + -1 = -1 7x = -1 Divide each side by '7'. x = -0.1428571429 Simplifying x = -0.1428571429Solution
x = {-0.9, -0.1428571429}
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