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Simplifying 8(6 + -1x) + -3x(6 + -1x) = 0 (6 * 8 + -1x * 8) + -3x(6 + -1x) = 0 (48 + -8x) + -3x(6 + -1x) = 0 48 + -8x + (6 * -3x + -1x * -3x) = 0 48 + -8x + (-18x + 3x2) = 0 Combine like terms: -8x + -18x = -26x 48 + -26x + 3x2 = 0 Solving 48 + -26x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (8 + -3x)(6 + -1x) = 0Subproblem 1
Set the factor '(8 + -3x)' equal to zero and attempt to solve: Simplifying 8 + -3x = 0 Solving 8 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 0 + -8 -3x = 0 + -8 Combine like terms: 0 + -8 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {2.666666667, 6}
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