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Simplifying 100x4 + -9x2 = 0 Reorder the terms: -9x2 + 100x4 = 0 Solving -9x2 + 100x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(-9 + 100x2) = 0 Factor a difference between two squares. x2((3 + 10x)(-3 + 10x)) = 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 '(3 + 10x)' equal to zero and attempt to solve: Simplifying 3 + 10x = 0 Solving 3 + 10x = 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 + 10x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 10x = 0 + -3 10x = 0 + -3 Combine like terms: 0 + -3 = -3 10x = -3 Divide each side by '10'. x = -0.3 Simplifying x = -0.3Subproblem 3
Set the factor '(-3 + 10x)' equal to zero and attempt to solve: Simplifying -3 + 10x = 0 Solving -3 + 10x = 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 + 10x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 10x = 0 + 3 10x = 0 + 3 Combine like terms: 0 + 3 = 3 10x = 3 Divide each side by '10'. x = 0.3 Simplifying x = 0.3Solution
x = {0, -0.3, 0.3}
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