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Simplifying 7x3 + -48x = 0 Reorder the terms: -48x + 7x3 = 0 Solving -48x + 7x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-48 + 7x2) = 0Subproblem 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 '(-48 + 7x2)' equal to zero and attempt to solve: Simplifying -48 + 7x2 = 0 Solving -48 + 7x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 7x2 = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 7x2 = 0 + 48 7x2 = 0 + 48 Combine like terms: 0 + 48 = 48 7x2 = 48 Divide each side by '7'. x2 = 6.857142857 Simplifying x2 = 6.857142857 Take the square root of each side: x = {-2.618614683, 2.618614683}Solution
x = {0, -2.618614683, 2.618614683}
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