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Simplifying 4x2(5x4 + 3) = 0 Reorder the terms: 4x2(3 + 5x4) = 0 (3 * 4x2 + 5x4 * 4x2) = 0 (12x2 + 20x6) = 0 Solving 12x2 + 20x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x2'. 4x2(3 + 5x4) = 0 Ignore the factor 4.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 '(3 + 5x4)' equal to zero and attempt to solve: Simplifying 3 + 5x4 = 0 Solving 3 + 5x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5x4 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x4 = 0 + -3 5x4 = 0 + -3 Combine like terms: 0 + -3 = -3 5x4 = -3 Divide each side by '5'. x4 = -0.6 Simplifying x4 = -0.6 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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