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Simplifying 0 = x(24x + 550) Reorder the terms: 0 = x(550 + 24x) 0 = (550 * x + 24x * x) 0 = (550x + 24x2) Solving 0 = 550x + 24x2 Solving for variable 'x'. Remove the zero: -550x + -24x2 = 550x + 24x2 + -550x + -24x2 Reorder the terms: -550x + -24x2 = 550x + -550x + 24x2 + -24x2 Combine like terms: 550x + -550x = 0 -550x + -24x2 = 0 + 24x2 + -24x2 -550x + -24x2 = 24x2 + -24x2 Combine like terms: 24x2 + -24x2 = 0 -550x + -24x2 = 0 Factor out the Greatest Common Factor (GCF), '-2x'. -2x(275 + 12x) = 0 Ignore the factor -2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(275 + 12x)' equal to zero and attempt to solve: Simplifying 275 + 12x = 0 Solving 275 + 12x = 0 Move all terms containing x to the left, all other terms to the right. Add '-275' to each side of the equation. 275 + -275 + 12x = 0 + -275 Combine like terms: 275 + -275 = 0 0 + 12x = 0 + -275 12x = 0 + -275 Combine like terms: 0 + -275 = -275 12x = -275 Divide each side by '12'. x = -22.91666667 Simplifying x = -22.91666667Solution
x = {0, -22.91666667}
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