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Simplifying 48x2 + 792x + 2400 = 0 Reorder the terms: 2400 + 792x + 48x2 = 0 Solving 2400 + 792x + 48x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '24'. 24(100 + 33x + 2x2) = 0 Factor a trinomial. 24((25 + 2x)(4 + x)) = 0 Ignore the factor 24.Subproblem 1
Set the factor '(25 + 2x)' equal to zero and attempt to solve: Simplifying 25 + 2x = 0 Solving 25 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 2x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 2x = 0 + -25 2x = 0 + -25 Combine like terms: 0 + -25 = -25 2x = -25 Divide each side by '2'. x = -12.5 Simplifying x = -12.5Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {-12.5, -4}
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