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Simplifying 24x + -16 = (x)(3x + -2) Reorder the terms: -16 + 24x = (x)(3x + -2) Reorder the terms: -16 + 24x = x(-2 + 3x) -16 + 24x = (-2 * x + 3x * x) -16 + 24x = (-2x + 3x2) Solving -16 + 24x = -2x + 3x2 Solving for variable 'x'. Combine like terms: 24x + 2x = 26x -16 + 26x + -3x2 = -2x + 3x2 + 2x + -3x2 Reorder the terms: -16 + 26x + -3x2 = -2x + 2x + 3x2 + -3x2 Combine like terms: -2x + 2x = 0 -16 + 26x + -3x2 = 0 + 3x2 + -3x2 -16 + 26x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -16 + 26x + -3x2 = 0 Factor a trinomial. (-8 + x)(2 + -3x) = 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 '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {8, 0.6666666667}
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