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Simplifying 24x2 + 4 = -22x Reorder the terms: 4 + 24x2 = -22x Solving 4 + 24x2 = -22x Solving for variable 'x'. Reorder the terms: 4 + 22x + 24x2 = -22x + 22x Combine like terms: -22x + 22x = 0 4 + 22x + 24x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2 + 11x + 12x2) = 0 Factor a trinomial. 2((2 + 3x)(1 + 4x)) = 0 Ignore the factor 2.Subproblem 1
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 = -0.6666666667Subproblem 2
Set the factor '(1 + 4x)' equal to zero and attempt to solve: Simplifying 1 + 4x = 0 Solving 1 + 4x = 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 + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 0 + -1 4x = 0 + -1 Combine like terms: 0 + -1 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25Solution
x = {-0.6666666667, -0.25}
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