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Simplifying x(x + -1) + -6(x + -2) = 0 Reorder the terms: x(-1 + x) + -6(x + -2) = 0 (-1 * x + x * x) + -6(x + -2) = 0 (-1x + x2) + -6(x + -2) = 0 Reorder the terms: -1x + x2 + -6(-2 + x) = 0 -1x + x2 + (-2 * -6 + x * -6) = 0 -1x + x2 + (12 + -6x) = 0 Reorder the terms: 12 + -1x + -6x + x2 = 0 Combine like terms: -1x + -6x = -7x 12 + -7x + x2 = 0 Solving 12 + -7x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -1x)(4 + -1x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {3, 4}
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