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Simplifying 24x2 + 78x = 0 Reorder the terms: 78x + 24x2 = 0 Solving 78x + 24x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x'. 6x(13 + 4x) = 0 Ignore the factor 6.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 '(13 + 4x)' equal to zero and attempt to solve: Simplifying 13 + 4x = 0 Solving 13 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 4x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 4x = 0 + -13 4x = 0 + -13 Combine like terms: 0 + -13 = -13 4x = -13 Divide each side by '4'. x = -3.25 Simplifying x = -3.25Solution
x = {0, -3.25}
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