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Simplifying 6x(x + -1999) + -1x + 1999 = 0 Reorder the terms: 6x(-1999 + x) + -1x + 1999 = 0 (-1999 * 6x + x * 6x) + -1x + 1999 = 0 (-11994x + 6x2) + -1x + 1999 = 0 Reorder the terms: 1999 + -11994x + -1x + 6x2 = 0 Combine like terms: -11994x + -1x = -11995x 1999 + -11995x + 6x2 = 0 Solving 1999 + -11995x + 6x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -6x)(1999 + -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 '(1999 + -1x)' equal to zero and attempt to solve: Simplifying 1999 + -1x = 0 Solving 1999 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1999' to each side of the equation. 1999 + -1999 + -1x = 0 + -1999 Combine like terms: 1999 + -1999 = 0 0 + -1x = 0 + -1999 -1x = 0 + -1999 Combine like terms: 0 + -1999 = -1999 -1x = -1999 Divide each side by '-1'. x = 1999 Simplifying x = 1999Solution
x = {0.1666666667, 1999}
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