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Simplifying 25x4 + -81x2 = 0 Reorder the terms: -81x2 + 25x4 = 0 Solving -81x2 + 25x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(-81 + 25x2) = 0 Factor a difference between two squares. x2((9 + 5x)(-9 + 5x)) = 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 '(9 + 5x)' equal to zero and attempt to solve: Simplifying 9 + 5x = 0 Solving 9 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = 0 + -9 5x = 0 + -9 Combine like terms: 0 + -9 = -9 5x = -9 Divide each side by '5'. x = -1.8 Simplifying x = -1.8Subproblem 3
Set the factor '(-9 + 5x)' equal to zero and attempt to solve: Simplifying -9 + 5x = 0 Solving -9 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 5x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 5x = 0 + 9 5x = 0 + 9 Combine like terms: 0 + 9 = 9 5x = 9 Divide each side by '5'. x = 1.8 Simplifying x = 1.8Solution
x = {0, -1.8, 1.8}
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