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Simplifying (-24x3 + -4x2)(4x2) = 0 Reorder the terms: (-4x2 + -24x3)(4x2) = 0 Remove parenthesis around (4x2) (-4x2 + -24x3) * 4x2 = 0 Reorder the terms for easier multiplication: 4x2(-4x2 + -24x3) = 0 (-4x2 * 4x2 + -24x3 * 4x2) = 0 (-16x4 + -96x5) = 0 Solving -16x4 + -96x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-16x4'. -16x4(1 + 6x) = 0 Ignore the factor -16.Subproblem 1
Set the factor 'x4' equal to zero and attempt to solve: Simplifying x4 = 0 Solving x4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + 6x)' equal to zero and attempt to solve: Simplifying 1 + 6x = 0 Solving 1 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 0 + -1 6x = 0 + -1 Combine like terms: 0 + -1 = -1 6x = -1 Divide each side by '6'. x = -0.1666666667 Simplifying x = -0.1666666667Solution
x = {-0.1666666667}
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