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Simplifying x = 24x2 + 36x + 11 Reorder the terms: x = 11 + 36x + 24x2 Solving x = 11 + 36x + 24x2 Solving for variable 'x'. Reorder the terms: -11 + x + -36x + -24x2 = 11 + 36x + 24x2 + -11 + -36x + -24x2 Combine like terms: x + -36x = -35x -11 + -35x + -24x2 = 11 + 36x + 24x2 + -11 + -36x + -24x2 Reorder the terms: -11 + -35x + -24x2 = 11 + -11 + 36x + -36x + 24x2 + -24x2 Combine like terms: 11 + -11 = 0 -11 + -35x + -24x2 = 0 + 36x + -36x + 24x2 + -24x2 -11 + -35x + -24x2 = 36x + -36x + 24x2 + -24x2 Combine like terms: 36x + -36x = 0 -11 + -35x + -24x2 = 0 + 24x2 + -24x2 -11 + -35x + -24x2 = 24x2 + -24x2 Combine like terms: 24x2 + -24x2 = 0 -11 + -35x + -24x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(11 + 35x + 24x2) = 0 Factor a trinomial. -1((1 + x)(11 + 24x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Subproblem 2
Set the factor '(11 + 24x)' equal to zero and attempt to solve: Simplifying 11 + 24x = 0 Solving 11 + 24x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 24x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 24x = 0 + -11 24x = 0 + -11 Combine like terms: 0 + -11 = -11 24x = -11 Divide each side by '24'. x = -0.4583333333 Simplifying x = -0.4583333333Solution
x = {-1, -0.4583333333}
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