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Simplifying -3x2 + 24x2 + -48x = 0 Reorder the terms: -48x + -3x2 + 24x2 = 0 Combine like terms: -3x2 + 24x2 = 21x2 -48x + 21x2 = 0 Solving -48x + 21x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(-16 + 7x) = 0 Ignore the factor 3.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 '(-16 + 7x)' equal to zero and attempt to solve: Simplifying -16 + 7x = 0 Solving -16 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 7x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 7x = 0 + 16 7x = 0 + 16 Combine like terms: 0 + 16 = 16 7x = 16 Divide each side by '7'. x = 2.285714286 Simplifying x = 2.285714286Solution
x = {0, 2.285714286}
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