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Simplifying [-3 + x][8 + -1x] = 0 Multiply [-3 + x] * [8 + -1x] [-3[8 + -1x] + x[8 + -1x]] = 0 [[8 * -3 + -1x * -3] + x[8 + -1x]] = 0 [[-24 + 3x] + x[8 + -1x]] = 0 [-24 + 3x + [8 * x + -1x * x]] = 0 [-24 + 3x + [8x + -1x2]] = 0 Combine like terms: 3x + 8x = 11x [-24 + 11x + -1x2] = 0 Solving -24 + 11x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + x)(3 + -1x) = 0Subproblem 1
Set the factor '(-8 + x)' equal to zero and attempt to solve: Simplifying -8 + x = 0 Solving -8 + x = 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 + x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x = 0 + 8 x = 0 + 8 Combine like terms: 0 + 8 = 8 x = 8 Simplifying x = 8Subproblem 2
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 = 3Solution
x = {8, 3}
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