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Simplifying (9x + -1)(x + -16) = 0 Reorder the terms: (-1 + 9x)(x + -16) = 0 Reorder the terms: (-1 + 9x)(-16 + x) = 0 Multiply (-1 + 9x) * (-16 + x) (-1(-16 + x) + 9x * (-16 + x)) = 0 ((-16 * -1 + x * -1) + 9x * (-16 + x)) = 0 ((16 + -1x) + 9x * (-16 + x)) = 0 (16 + -1x + (-16 * 9x + x * 9x)) = 0 (16 + -1x + (-144x + 9x2)) = 0 Combine like terms: -1x + -144x = -145x (16 + -145x + 9x2) = 0 Solving 16 + -145x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -9x)(16 + -1x) = 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 '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16Solution
x = {0.1111111111, 16}
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