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Simplifying (9x + -10)(9x + 1) = 0 Reorder the terms: (-10 + 9x)(9x + 1) = 0 Reorder the terms: (-10 + 9x)(1 + 9x) = 0 Multiply (-10 + 9x) * (1 + 9x) (-10(1 + 9x) + 9x * (1 + 9x)) = 0 ((1 * -10 + 9x * -10) + 9x * (1 + 9x)) = 0 ((-10 + -90x) + 9x * (1 + 9x)) = 0 (-10 + -90x + (1 * 9x + 9x * 9x)) = 0 (-10 + -90x + (9x + 81x2)) = 0 Combine like terms: -90x + 9x = -81x (-10 + -81x + 81x2) = 0 Solving -10 + -81x + 81x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -9x)(10 + -9x) = 0Subproblem 1
Set the factor '(-1 + -9x)' equal to zero and attempt to solve: Simplifying -1 + -9x = 0 Solving -1 + -9x = 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 + -9x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -9x = 0 + 1 -9x = 0 + 1 Combine like terms: 0 + 1 = 1 -9x = 1 Divide each side by '-9'. x = -0.1111111111 Simplifying x = -0.1111111111Subproblem 2
Set the factor '(10 + -9x)' equal to zero and attempt to solve: Simplifying 10 + -9x = 0 Solving 10 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -9x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -9x = 0 + -10 -9x = 0 + -10 Combine like terms: 0 + -10 = -10 -9x = -10 Divide each side by '-9'. x = 1.111111111 Simplifying x = 1.111111111Solution
x = {-0.1111111111, 1.111111111}
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