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Simplifying 5x4 + -6x2 = 0 Reorder the terms: -6x2 + 5x4 = 0 Solving -6x2 + 5x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(-6 + 5x2) = 0Subproblem 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 '(-6 + 5x2)' equal to zero and attempt to solve: Simplifying -6 + 5x2 = 0 Solving -6 + 5x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5x2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5x2 = 0 + 6 5x2 = 0 + 6 Combine like terms: 0 + 6 = 6 5x2 = 6 Divide each side by '5'. x2 = 1.2 Simplifying x2 = 1.2 Take the square root of each side: x = {-1.095445115, 1.095445115}Solution
x = {0, -1.095445115, 1.095445115}
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