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Simplifying 25x4 + -29x2 = 0 Reorder the terms: -29x2 + 25x4 = 0 Solving -29x2 + 25x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(-29 + 25x2) = 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 '(-29 + 25x2)' equal to zero and attempt to solve: Simplifying -29 + 25x2 = 0 Solving -29 + 25x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 25x2 = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 25x2 = 0 + 29 25x2 = 0 + 29 Combine like terms: 0 + 29 = 29 25x2 = 29 Divide each side by '25'. x2 = 1.16 Simplifying x2 = 1.16 Take the square root of each side: x = {-1.077032961, 1.077032961}Solution
x = {0, -1.077032961, 1.077032961}
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