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Simplifying 45x4 + -25x2 = 0 Reorder the terms: -25x2 + 45x4 = 0 Solving -25x2 + 45x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x2'. 5x2(-5 + 9x2) = 0 Ignore the factor 5.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 '(-5 + 9x2)' equal to zero and attempt to solve: Simplifying -5 + 9x2 = 0 Solving -5 + 9x2 = 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 + 9x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 9x2 = 0 + 5 9x2 = 0 + 5 Combine like terms: 0 + 5 = 5 9x2 = 5 Divide each side by '9'. x2 = 0.5555555556 Simplifying x2 = 0.5555555556 Take the square root of each side: x = {-0.745355993, 0.745355993}Solution
x = {0, -0.745355993, 0.745355993}
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