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Simplifying (6x + -1)(x + -10) = 0 Reorder the terms: (-1 + 6x)(x + -10) = 0 Reorder the terms: (-1 + 6x)(-10 + x) = 0 Multiply (-1 + 6x) * (-10 + x) (-1(-10 + x) + 6x * (-10 + x)) = 0 ((-10 * -1 + x * -1) + 6x * (-10 + x)) = 0 ((10 + -1x) + 6x * (-10 + x)) = 0 (10 + -1x + (-10 * 6x + x * 6x)) = 0 (10 + -1x + (-60x + 6x2)) = 0 Combine like terms: -1x + -60x = -61x (10 + -61x + 6x2) = 0 Solving 10 + -61x + 6x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -6x)(10 + -1x) = 0Subproblem 1
Set the factor '(1 + -6x)' equal to zero and attempt to solve: Simplifying 1 + -6x = 0 Solving 1 + -6x = 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 + -6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 0 + -1 -6x = 0 + -1 Combine like terms: 0 + -1 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 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 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {0.1666666667, 10}
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