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Simplifying 3x3 + -24(6x) = 0 Remove parenthesis around (6x) 3x3 + -24 * 6x = 0 Multiply -24 * 6 3x3 + -144x = 0 Reorder the terms: -144x + 3x3 = 0 Solving -144x + 3x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(-48 + x2) = 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 '(-48 + x2)' equal to zero and attempt to solve: Simplifying -48 + x2 = 0 Solving -48 + x2 = 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 + x2 = 0 + 48 Combine like terms: -48 + 48 = 0 0 + x2 = 0 + 48 x2 = 0 + 48 Combine like terms: 0 + 48 = 48 x2 = 48 Simplifying x2 = 48 Take the square root of each side: x = {-6.92820323, 6.92820323}Solution
x = {0, -6.92820323, 6.92820323}
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