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Simplifying 24x2 + 112 = -184x Reorder the terms: 112 + 24x2 = -184x Solving 112 + 24x2 = -184x Solving for variable 'x'. Reorder the terms: 112 + 184x + 24x2 = -184x + 184x Combine like terms: -184x + 184x = 0 112 + 184x + 24x2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(14 + 23x + 3x2) = 0 Factor a trinomial. 8((7 + x)(2 + 3x)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Subproblem 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 = {-7, -0.6666666667}
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