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Simplifying 3x2(2x2 + 5) = 0 Reorder the terms: 3x2(5 + 2x2) = 0 (5 * 3x2 + 2x2 * 3x2) = 0 (15x2 + 6x4) = 0 Solving 15x2 + 6x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x2'. 3x2(5 + 2x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(5 + 2x2)' equal to zero and attempt to solve: Simplifying 5 + 2x2 = 0 Solving 5 + 2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x2 = 0 + -5 2x2 = 0 + -5 Combine like terms: 0 + -5 = -5 2x2 = -5 Divide each side by '2'. x2 = -2.5 Simplifying x2 = -2.5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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