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Simplifying 25X4 + -225X2 = 0 Reorder the terms: -225X2 + 25X4 = 0 Solving -225X2 + 25X4 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '25X2'. 25X2(-9 + X2) = 0 Factor a difference between two squares. 25X2((3 + X)(-3 + X)) = 0 Ignore the factor 25.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 '(3 + X)' equal to zero and attempt to solve: Simplifying 3 + X = 0 Solving 3 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + X = 0 + -3 X = 0 + -3 Combine like terms: 0 + -3 = -3 X = -3 Simplifying X = -3Subproblem 3
Set the factor '(-3 + X)' equal to zero and attempt to solve: Simplifying -3 + X = 0 Solving -3 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + X = 0 + 3 Combine like terms: -3 + 3 = 0 0 + X = 0 + 3 X = 0 + 3 Combine like terms: 0 + 3 = 3 X = 3 Simplifying X = 3Solution
X = {0, -3, 3}
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