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Simplifying 24x2 + -11x + -3 = 3x Reorder the terms: -3 + -11x + 24x2 = 3x Solving -3 + -11x + 24x2 = 3x Solving for variable 'x'. Reorder the terms: -3 + -11x + -3x + 24x2 = 3x + -3x Combine like terms: -11x + -3x = -14x -3 + -14x + 24x2 = 3x + -3x Combine like terms: 3x + -3x = 0 -3 + -14x + 24x2 = 0 Factor a trinomial. (-1 + -6x)(3 + -4x) = 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 '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 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 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Solution
x = {-0.1666666667, 0.75}
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