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Simplifying 3x2(2x4 + -5x2) = 0 Reorder the terms: 3x2(-5x2 + 2x4) = 0 (-5x2 * 3x2 + 2x4 * 3x2) = 0 (-15x4 + 6x6) = 0 Solving -15x4 + 6x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x4'. 3x4(-5 + 2x2) = 0 Ignore the factor 3.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 '(-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 Take the square root of each side: x = {-1.58113883, 1.58113883}Solution
x = {-1.58113883, 1.58113883}
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